Question: 1. If u = [2, 3, 4] and v = [- 7, - 6, - 5] find 2v - 3u a) [- 9, - 9,
![1. If u = [2, 3, 4] and v = [-](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/11/672ce42d724c9_245672ce42d5c92d.jpg)
1. If u = [2, 3, 4] and v = [- 7, - 6, - 5] find 2v - 3u a) [- 9, - 9, - 9] b) [- 20, - 21, - 22] c) [25, 24, 23] d) [- 8, - 3, 2] 2. If u = [2, 3, 4] and v = [- 7, - 6, - 5] find |2v - 3ul a) V243 b) V1325 c) V1730 d) 177 3. If u = [2, 3, 4] and v = [- 7, - 6, - 5] find v . u a) - 52 b) [- 14, - 18, - 20] c) - 27 d) [- 9, - 9, - 9] 4. If u = [2, 3, 4] and v = [- 7, - 6, - 5] find w orthogonal to both u & v a) V486 b) [9, - 18.9] c) [- 14, - 18, - 20] d) [- 9, - 9, - 9] 5. If |ul = 5, lul = 8 and the angle between these vectors is 130 then u x v is: a) - 25. 7n b) 25. 7n c) 30. 6n d) - 30. 6n 6. If lul = 5, lul = 8 and the angle between these vectors is 130 then u . v is: a) - 25. 7 b) 25.7 C) 30. 6 d) - 30.6 7. Simplify: 5v + 4u - 7(v - 2u) a) - 2v + 2u b) - 20 + 621 C) - 2v + 18u d) 6v + 2u 8. Write OP = (- 3, 1, 2) using standard unit vectors. a) - 3x + y + 2z b ) 3 x ty + 27 c) - 31 + j+ 2k d ) 3i + j + 2k MCV 4U1 Test #5 Vectors 9. Write 0Q = (4, 1, 0) using standard unit vectors. a ) 4x + y + z b ) 4 x + y C) 4i + j d) 4i + j + k 10 . Write 0Q =- 2j + 3k in component form. a) [- 2, 3] b) [1, - 2, 3] c) [2, 3] d) 0, - 2, 3]
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