If you were to translate the coordinates of point C using vector (-3,2) , what would the coordinates of the new point be?

Q: The vector that has the same direction as ⟨3,4,3⟩ but has length of 4 is

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Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: How would I solve this? Find an equation of the plane that passes through the given point and is…

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Q: What position vector is equal to the vector from (4.-3. - 2) to (-5, -8,7)? The position vector is…

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Q: Write the vector (-5, -9) as a linear combination of the vectors (-2, 3) and (1, 4).

A: NOTE: Refresh your page if you can't see any equations. . write both vectors in the matrix and the…

Q: If a vector gets multiplied by a positive number, its direction will be *.reversed FO TO

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Q: A vector starts at point ( -3, 3) and ends at point (-1, -5) what is the vertical component of the…

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Q: Two vectors are considered equivalent (equal) vectors if they and

A: Every vector quantity has dimension as well as mangnitude.

Q: What position vector is equal to the vector from (3, 5, -2) to (0, -6, 3)?

A: We have given two vectors;  (3, 5, -2) , (0, -6, 3)

Q: would two independent vectors span a plane whereas two dependent vectors span a line?

A: If two vectors are linearly dependent:

Q: Find two vectors v1 and v2 whose sum is (2, –5), where vj is parallel to (5, 2) while v2 is…

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Q: arry, an avid TikToker, decided to look at his faulty wristwatch to tell his friend dolphins the…

A: Given data on question:  Length of hour hand , Lh = 3 cm Length of minute hand , Lm 1.5 cm  Position…

Q: Find two vectorsī and 02 whose sum is (2, –4), where v, is parallel to (2, -4) while vz is…

A: We have to find vector v1 →and v2→   the sum of vector v1 →and v2→ is 2, -4   vector v1 →is parallel…

Q: The sum of the squares of the direction cosines of a vector in space add up to ..............

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Q: What is the Direction vector for the line with Cartesian equation 3x + 2y-1= 0

A: Any line in two-dimensional Euclidean space can be described as the set of solutions to an equation…

Q: A hot air balloon has traveled a horizontal distance that can be represented by the vector and a…

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Q: Finally, verify that the vectors satisfy the Parallelogram Law |||² + ||||? 3. ī = (2, –1), w =…

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Q: How do you find the cross product a x b of two vectors if you know their lengths and the angle…

A: If you know the length of the two vectors a and b then, you essentially know |a| and |b| And then…

Q: Illustrate how vector equation can be turned to cartesian equation?

A: To Determine: Illustrate how vector equation can be turned to cartesian equation? Given: we have a…

Q: The intersection of the two planes given by the vector equations ()- -2 =0 r. and -4 = 3 r. is

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Q: A figure is translated using the vector (-3, 7). What translation vector would move the image back…

A: i have provided solution in step2

Q: Find the unit vector with same direction as ⟨-7,10⟩ ⟨, ⟩ (Please enter exact answers and use…

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Q: (6, -2, -4), and the unit vector from the origin toward point B is (2, -2, 1)/3. If points A and B…

A: The vector from the origin to point A is given as (6, −2, −4), and the unit vector directed from the…

Q: What is the component form of the vector with an initial point of (-2,5) and a terminal point of…

A: Given that ,  The vector with  Initial Point = (-2 , 5) Terminal Point = (7 , -3).

Q: Express A = (3, 1, – 1) as B+ C, where B is parallel to the vector (1,4, 2) and C is perpendicular…

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Q: Determine which vectors that are orthogonal to (-3,- 6)? (-4,2) and (- 1,3) (-10, 5) and (-3, 6) a.…

A: Since your question has multile question we will solve the first question for you.   Find the…

Q: 2. Find a vector equation of the line through (1, 0, −3) and (2, 4, 8). Make sure to justify your…

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Q: What is the vector equation of the line segment that connects point P(1,−1,2) to point Q (4,1,7)?

A: Given, A line segment passes through the points P1,-1,2 and Q4,1,7 We have, the vector equation of a…

Q: Find a vector in the same direction as (-5, 2, –3) with magnitude 6.

A: In this question , firstly we can find the unit vector of the given vector and after that we can…

Q: The vector with terminal point at P(-5,0,3) and initial point at Q(6, 2, –8) is equal to the…

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Q: Find the measure of the angle between the two vectors. (-4, 5) (-6,3) ►

A: Consider the graph

Q: What is the component form of the vector whose tail is the point (-1,5), and whose head is the point…

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Q: What is the component form of the vector whose tail is the point (-2, 6), and whose head is the…

A: Answer is in step 2.

Q: Write down the equation of the line that passes through the points (3,-2, 4) and (2, 3, -1). Using…

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Q: Find a direction vector for the line containing the points (-1, 5, 2) and the point (2, 3, - 1).

A: We have to find a direction vector for the line containing the points -1, 5, 2 and 2, 3, -1. We know…

Q: Find a vector equation of a line passing through the point (-1, -2, 4) and perpendicular to both a =…

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Q: The vector equation for the line passing through the points (-4, 1,0) and (4, 4,-3) is r(1)-

A: It is given that the line passes through the points (-4,1,0) and (4,4,-3). Consider that the vector…

Q: How do I solve these questions using vectors?

A: As per our company guidelines we are supposed to answer only first sub-parts. Kindly repost other…

Q: Find the equation of the line that passes through the point (3,4,5) and is parallel to the vector…

A: The equation of a line that passes through the point: x0, y0, z0 is L=x0, y0, z0+ta, b, c, where a,…

Q: Write the vector (7, 8, -8) as a linear combination (if possible) as of the vectors (-1, 1, 2), (2,…

A: Let the linear combination be, x-112+y23-2=78-8 It is required to determine the value of 'x' and 'y'…

Q: What is the component form of the vector whose tail is the point (-3, 2) and whose head is the point…

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Q: What is the component form of the vector represented by 2a when = (-2, 3)? Enter the answer in the…

A: If we multiply by a constant to any vector then  magnitude of that vector will be changed.

Q: Find a unit vector perpendicular to both (3,-2,4) and (-1,2,-3).

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Q: Is it possible to write the vector (-5,11,-7) as a linear combination of the vectors…

A: See the attachment

Q: The equation of the line with point (3, -6,8) and parallel to the vector (-1,2,3).

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Q: when we decompose the vector , what would the vertical component be?

A: Use the decomposing concept of a vector.

Q: Find two vectors V1 and V2 whose sum is ⟨2,−5,3⟩, where V1 is parallel to ⟨4,4,0⟩ while V2 is…

A: Parallel vector will be multiple of each other  Perpendicular vector has dot products zero

Q: Harry, an avid TikToker, decided to look at his faulty wristwatch to tell his friend dolphins the…

A: Given data on question:  Length of hour hand , Lh = 3 cm Length of minute hand , Lm  = 1.5 cm…