Question

Find the results of the given vector subtractions for u = <-8, 4> and V = <2,7>.

Answer 1

see explanation

Explanation:

- u - v

= - < - 8, 4 > - < 2, 7 > ← multiply each component of u by - 1

= < 8, - 4 > - < 2, 7 > ← subtract corresponding elements

= < 8 - 2, - 4 - 7 >

= < 6, - 11 >

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u - v

= < - 8, 4 > - < 2, 7 > ← subtract corresponding elements

= < - 8 - 2, 4 - 7 >

= < 6, - 3 >

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v- u

= < 2, 7 > - < - 8, 4 > ← subtract corresponding elements

= < 2 - (- 8), 7 - 4 >

= < 2 + 8, 7 - 4 >

= < 10, 3 >