9514 1404 393
Answer:
- parallel: -15
- perpendicular: 2.4
Step-by-step explanation:
The vectors will be parallel when one is a multiple of the other. That means the ratios of component values are the same:
6/2 = k/-5
k = -5(6/2) = -15
The value of k to make the vectors parallel is -15.
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The vectors will be orthogonal when their dot-product is zero.
(2i -5j) · (6k +kj) = (2)(6) +(-5)(k) = 0
5k = 12 . . . . . . . . add 5k
k = 12/5 = 2.4 . . . . divide by 5
The value of k to make the vectors orthogonal is 2.4.
