8. Write OP (2, 1, -3) using standard unit vectors. a) 2x + y -3z b) 2x + y + 3Z c) 2i+j-3k d) 2i+j+3k 9. Write 0Q = (0, -2, 0) using standard unit vectors. a) i-2j+k b) -27 c) x - 2y + Z d) -2ỷ 10. Write OQ = 76k in component form. a) [7,-6] b) [1,7, -6] c) [7,6] d) [0, 7, -6] 11. Find N, where M = (5, 9, -3) and MN = -3[2,3,4] [3 Marks] Communication True or False: [- 12. The addition of two opposite vectors results in a zero vector. 13. The multiplication of a vector by a negative scalar will result in a zero vector. 14. Linear combinations of vectors can be formed by adding scalar multiples of two or more vectors. 15. If two vectors are orthogonal then their cross product equals zero. 16. The dot product of two vectors always results in a scalar. 17. You cannot do the dot product crossed with a vector (u) × w Knowledge/Understanding Multiple Choice: ! 1. If u = [2,3,4] and v = [-7,-6, −5] find 2ū – 3v a) [9, 9, 9] b) [-17, -12, -7] c) [25, 24, 23] d) [25, -12,9] 2. If u = [2, 3, 4] and v = [−7,−6, −5] find | 2ū – 3v + 5ĵ | a) √2525 3. If ū = [2,3,4] and a) [-14, -18,-20] 4. If u = [2,3,4] and a) [9, -18,9] b) √1995 c) √625 d) √588 c) [-9, -9, -9] d) -52 v = [−7,−6, −5] find ū · v b) -27 v = [-7, -6, -5] find w orthogonal to both u & v b) √486 c) [-14, -18,-20] d) [9,9,9] 5. If |u|= 4,|v|= 7 and the angle between these vectors is 147° then ữ · ở is: a) 15.2 b) 23.5 c) -15.2 d) -23.5 6. If |u|= 4, |v| = 7 and the angle between these vectors is 147° then ū × v is: a) 15.2 b) 23.5ñ 7. Simplify: 3+ 4-8(-2) c) 15.2ñ d) -23.5 a) -5 + 2v b) -5u + 20v c) 4u + 2v d) -5u+6v
8. Write OP (2, 1, -3) using standard unit vectors. a) 2x + y -3z b) 2x + y + 3Z c) 2i+j-3k d) 2i+j+3k 9. Write 0Q = (0, -2, 0) using standard unit vectors. a) i-2j+k b) -27 c) x - 2y + Z d) -2ỷ 10. Write OQ = 76k in component form. a) [7,-6] b) [1,7, -6] c) [7,6] d) [0, 7, -6] 11. Find N, where M = (5, 9, -3) and MN = -3[2,3,4] [3 Marks] Communication True or False: [- 12. The addition of two opposite vectors results in a zero vector. 13. The multiplication of a vector by a negative scalar will result in a zero vector. 14. Linear combinations of vectors can be formed by adding scalar multiples of two or more vectors. 15. If two vectors are orthogonal then their cross product equals zero. 16. The dot product of two vectors always results in a scalar. 17. You cannot do the dot product crossed with a vector (u) × w Knowledge/Understanding Multiple Choice: ! 1. If u = [2,3,4] and v = [-7,-6, −5] find 2ū – 3v a) [9, 9, 9] b) [-17, -12, -7] c) [25, 24, 23] d) [25, -12,9] 2. If u = [2, 3, 4] and v = [−7,−6, −5] find | 2ū – 3v + 5ĵ | a) √2525 3. If ū = [2,3,4] and a) [-14, -18,-20] 4. If u = [2,3,4] and a) [9, -18,9] b) √1995 c) √625 d) √588 c) [-9, -9, -9] d) -52 v = [−7,−6, −5] find ū · v b) -27 v = [-7, -6, -5] find w orthogonal to both u & v b) √486 c) [-14, -18,-20] d) [9,9,9] 5. If |u|= 4,|v|= 7 and the angle between these vectors is 147° then ữ · ở is: a) 15.2 b) 23.5 c) -15.2 d) -23.5 6. If |u|= 4, |v| = 7 and the angle between these vectors is 147° then ū × v is: a) 15.2 b) 23.5ñ 7. Simplify: 3+ 4-8(-2) c) 15.2ñ d) -23.5 a) -5 + 2v b) -5u + 20v c) 4u + 2v d) -5u+6v
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 30E
Related questions
Question
![8. Write OP (2, 1, -3) using standard unit vectors.
a) 2x + y -3z
b) 2x + y + 3Z
c) 2i+j-3k
d) 2i+j+3k
9. Write 0Q = (0, -2, 0) using standard unit vectors.
a) i-2j+k
b) -27
c) x - 2y + Z
d) -2ỷ
10. Write OQ
= 76k in component form.
a) [7,-6]
b) [1,7, -6]
c) [7,6]
d) [0, 7, -6]
11. Find N, where M = (5, 9, -3) and MN = -3[2,3,4] [3 Marks]
Communication
True or False: [-
12. The addition of two opposite vectors results in a zero vector.
13. The multiplication of a vector by a negative scalar will result in a zero vector.
14. Linear combinations of vectors can be formed by adding scalar multiples of
two or more vectors.
15. If two vectors are orthogonal then their cross product equals zero.
16. The dot product of two vectors always results in a scalar.
17. You cannot do the dot product crossed with a vector (u) × w](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf41df8f-e300-4854-aaa2-c9c3c769a22c%2Fa6b8f679-6a87-4fb5-83ea-9cce600d059d%2Fkhpqj3p_processed.png&w=3840&q=75)
Transcribed Image Text:8. Write OP (2, 1, -3) using standard unit vectors.
a) 2x + y -3z
b) 2x + y + 3Z
c) 2i+j-3k
d) 2i+j+3k
9. Write 0Q = (0, -2, 0) using standard unit vectors.
a) i-2j+k
b) -27
c) x - 2y + Z
d) -2ỷ
10. Write OQ
= 76k in component form.
a) [7,-6]
b) [1,7, -6]
c) [7,6]
d) [0, 7, -6]
11. Find N, where M = (5, 9, -3) and MN = -3[2,3,4] [3 Marks]
Communication
True or False: [-
12. The addition of two opposite vectors results in a zero vector.
13. The multiplication of a vector by a negative scalar will result in a zero vector.
14. Linear combinations of vectors can be formed by adding scalar multiples of
two or more vectors.
15. If two vectors are orthogonal then their cross product equals zero.
16. The dot product of two vectors always results in a scalar.
17. You cannot do the dot product crossed with a vector (u) × w
![Knowledge/Understanding
Multiple Choice: !
1. If u = [2,3,4] and v = [-7,-6, −5] find 2ū – 3v
a) [9, 9, 9]
b) [-17, -12, -7]
c) [25, 24, 23]
d) [25, -12,9]
2. If u = [2, 3, 4] and v = [−7,−6, −5] find | 2ū – 3v + 5ĵ |
a) √2525
3. If ū = [2,3,4] and
a) [-14, -18,-20]
4. If u = [2,3,4] and
a) [9, -18,9]
b) √1995
c) √625
d) √588
c) [-9, -9, -9]
d) -52
v = [−7,−6, −5] find ū · v
b) -27
v = [-7, -6, -5] find w orthogonal to both u & v
b) √486
c) [-14, -18,-20]
d) [9,9,9]
5. If |u|= 4,|v|= 7 and the angle between these vectors is 147° then ữ · ở is:
a) 15.2
b) 23.5
c) -15.2
d) -23.5
6. If |u|= 4, |v| = 7 and the angle between these vectors is 147° then ū × v is:
a) 15.2
b) 23.5ñ
7. Simplify: 3+ 4-8(-2)
c) 15.2ñ
d) -23.5
a) -5 + 2v
b) -5u + 20v
c) 4u + 2v
d) -5u+6v](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf41df8f-e300-4854-aaa2-c9c3c769a22c%2Fa6b8f679-6a87-4fb5-83ea-9cce600d059d%2F2cy7bq8_processed.png&w=3840&q=75)
Transcribed Image Text:Knowledge/Understanding
Multiple Choice: !
1. If u = [2,3,4] and v = [-7,-6, −5] find 2ū – 3v
a) [9, 9, 9]
b) [-17, -12, -7]
c) [25, 24, 23]
d) [25, -12,9]
2. If u = [2, 3, 4] and v = [−7,−6, −5] find | 2ū – 3v + 5ĵ |
a) √2525
3. If ū = [2,3,4] and
a) [-14, -18,-20]
4. If u = [2,3,4] and
a) [9, -18,9]
b) √1995
c) √625
d) √588
c) [-9, -9, -9]
d) -52
v = [−7,−6, −5] find ū · v
b) -27
v = [-7, -6, -5] find w orthogonal to both u & v
b) √486
c) [-14, -18,-20]
d) [9,9,9]
5. If |u|= 4,|v|= 7 and the angle between these vectors is 147° then ữ · ở is:
a) 15.2
b) 23.5
c) -15.2
d) -23.5
6. If |u|= 4, |v| = 7 and the angle between these vectors is 147° then ū × v is:
a) 15.2
b) 23.5ñ
7. Simplify: 3+ 4-8(-2)
c) 15.2ñ
d) -23.5
a) -5 + 2v
b) -5u + 20v
c) 4u + 2v
d) -5u+6v
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