2 nogonal to the vector

Q: Find the unit vector in the direction of <4,2>

A:

Q: Find a non-zero vector 7 perpendicular to the vector u 12 [3]. -6

A:

Q: Rotate the vector v = by 0 = 2

A:

Q: express vector as a product of its length and direction. 1/(3)^1/2 i + 1/(3)^1/2 j + 1/(3)^1/2 k

A: Let the given vector is: v=13i+13j+13k

Q: Express the vector in terms of it's length and direction. i + 2j - k

A: Solution:Given   i+2j+kTo express in terms of its length and direction.u=vvand v=vu

Q: Resolve the vector of 300N at N25W into its rectangular components. Use right/left and up/down for…

A: To resolve the vector

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

A:

Q: What is the zero vector?

A: We have to define

Q: I\ Find the unit vector that has the same direction as vector v = -4i - 3j + 6k ? %3D

A:

Q: unit

A: To get the unit vector that is in the same direction as the original vector v, we divide the vector…

Q: Use paper and pencil to identify the redundant vectors. 4 3. 0. 0.

A: Definition : Redundant vector in a set is a vector which can be written as linear combination of…

Q: Find the unit vector in the same direction as the vector u = [4, –7]. Ex: 1.234 Ex: 1.234

A:

Q: Find a vector that has the same direction as 8i-j+4K but has a length of 6

A:

Q: Find two unit vectors that are perpendicular to both j+ 5k and i - 5j + 2k. (Enter your answers as a…

A: The given vectors are j+5k and i-5j+2k

Q: Find two unit vectors that are perpendicular to both  j + 2k and i - 3j + 2k  (Enter your answers…

A: Cross product of two vectors give always a perpendicular vector to both.

Q: If a = 3i +j - 2k and b = 5i –j- 2k, then find %3D а. а xb b. vector resolute of vector a in…

A: We will find out the required values.

Q: 4. Find a unit vector in the same direction as the vector 8i- j+ 4k.

A:

Q: 18 Find the Unit Vector that has the Same direction as vector V = 8i-6j

A: Given :  V = 8i - 6j

Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

Q: Find the length of the vector a %3D

A: The length of a vector x→=abc is given by the equation; ||x→||=a2+b2+c2

Q: 1. Determine the dot product of the two vectors in the diagram.

A:

Q: Parametrize the line that passes through the point (1, 2, 3) parallel to the vector v =-3i + 7k.

A: WE know that equation of line through (x1,y1,z1) and parallel to vector ai+bj+ck is

Q: Find a non-zero vector x perpendicular to the vectors 3 13 and u =| 4 -4 3

A: Let's find.

Q: A vector is in standard position if the _____ of the vector is placed at the ______ ofa rectangular…

A: To fill up the blanks,  A vector is in standard position if the _____ of the vector is placed at the…

Q: (B) Show that the area of triangle is - ÁxB (Using Vector method)

A: Let, a parallelogram be:

Q: Sketch the vector b = <3, 4> based at P = (−2, −1).

A: Sketch the vector b=<3, 4> based at P=(−2, −1).

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

A:

Q: 2. Convert the vector A=10ax in the Cartesian Coordinates into a vector expressed in the Cylindrical…

A:

Q: Consider the vector v = ⟨v1, v2, v3⟩. What is the meaning of arccos v2 / II v II = 30°?

A: Consider the vector v=v1,v2,v3 Use the dot product rule: v·j=v×jcosθ=vcosθ where θ is the angle…

Q: 6. Find the unit vector that has the same direction as the vector v = 3i- 2j

A:

Q: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

Q: Find a unit vector u in the direction opposite of (-8,-4,-3).

A:

Q: Find the length of the vector.v = (0, 1)

A: If Vector V = (V1,V2, V3) then the length of Vector ||V|| = (V1)2+(V2)2+(V3)2

Q: 1 If vector is a unit vector, what is the x?

A: We will find the value of x as following.

Q: 13. Find the unit vector having the same direction as v. v = 6i-8j

A: We have to find the unit vector.

Q: Find a non-zero vector 7 perpendicular to the vector u = 5= [8]. 6

A:

Q: Find the magnitude of the vector AB A=(-2,3) and B=(3, - 4)

A: A vector has both magnitude and direction. The direction of a vector is indicated by an arrow.…

Q: find the component form of the vector. The vector obtained by rotating [0, 1] through an angle of…

A: We have the vector is (0, 1)   We have to find the vector obtained by rotating (0, 1) through an…

Q: What is the resultant of vectors a and b? (

A:

Q: REE - Sept. 2014/ Sept. 2015 / Apr. 2018 2. What is the unit vector orthogonal both to 9i + 9j and…

A:

Q: A n = i-j+3k, n2 = 2i +j+ 3k to the two vectors.

A:

Q: Find the magnitude of the projection of (- 5, – 5) onto the vector (- 2, – 7) Round your answer to…

A:

Q: 2 Find The vector novmal to The vector A=2i-3;

A:

Q: Find a unit vector

A:

Q: Find the angel between the vectors u and v if u=-4i+2j and v=3i+2j Round answer to two decimal…

A: Consider the dot product of two vectors.

Q: Find a unit vector that is orthogonal to both >= 2i - 10j + 8k & v> = 4i + 6j – 8k Upload Choose a…

A: Explanation of the solution is given below...

Q: find the component form of the vector. The vector from the point A = (2, 3) to the origin.

A: Find the component form of the vector. The vector from the point A = (2, 3) to the origin.

Q: Describe a unit vector in R^3 with the same direction as <1,0,7>

A: Consider the given point vector

Q: Find the unit vector in the same direction as the vector u = [7,6]. Ex: 1.234 : Ex: 1.234

A: to find a unit vector in the direction of the given vector we need to divide the given vector by its…

Q: find the component form of the vector. The unit vector obtained by rotating the vector [0, 1]…

A: Given unit vector is 0,1 makes an angle of 90°. The vector obtained by rotating it by 120° counter…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.