1) Consider vectors v 1 =(4,5,6)and v 2 = (1, 2, 3). a. Compute the angle between vectors v 1 and v 2 . b. Compute the length of the projection of vector v 1 onto v 2 . c. Compute the cross product between vectors v 1 and v 2 . Consider vectors v1 = (4, -5, 6) and v2 = (1, 2, 3). a. Compute the angle between vectors v1 and v2. b. Compute the length of the projection of vector v1 onto Va. c. Compute the cross product between vectors v, and va. Step by step: a. To compute the angle between vectors v, and vy, we'll first find their dot product: V1 . V2 = (4 . 1) + (-5 . 2) + (6 .3) =4- 10 + 18 = 12 Next, we'll find the magnitudes of v1 and v2: Ivil = 142 + (-5)2 +62 = V16 + 25 + 36 = 177 Ival = V12 + 23 + 32 = V1+4+9 = V14 Now, we can find & using the formula: V1 ' VI 12 cos (0) = Ivillval V77 . V14 12 8 = arccos V77 . V14 0 = 68.5624