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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL