Hii please help me with my calculus and vectors grade 12 homework. Please make sure all answers are detailed and have all steps and are hand written. Thank you so much

_1. If u = [2, 3, 4] and v = [-7, -6, -5] find |u - vl a) [9, 9, 9] b) V434 c) 9V3 d) none of these 2. If u = [0, 3, 4] and v = [0, 2, 0] find u x v a) [-8, 0, 0] b) 8 C) 4V2 d) none of these 3. If u = [1, 3, 4] and v = [12, 1, -5] find | u . B| a) 5 b) -5 c) 20 d) none of these - 4. If u = [-1, 1, 1] and v = [1, 2, 0], which of the following vectors is orthogonal to both u and v. a) [6, 3, -9] b) [2, -1, 3] c) [2, 1, 3] d) none of these 5. w = ux v. If\\u| = 10 and |v| = 5 and the angle between u and v is 1500 then the best approximation for w is: a) 25.0n b) 25.0 c) 35.4n d) none of theseTrue False. 11. 12, 13. 14. 10. If given points A(-3, 2, 4) and B(5, 6, -7), then vector 3BA = a) [8,4,-11] b) [24,12,-33] ) [-24,-12,33] d) none of these Write 00 = [1, 3, 2] using standard unit vectors. a) J+3T+2k b)Z+3y+2Z