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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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