Question

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if a = 5i - j -3k and b= i+3j-5k, then show that the vectors a+b and a-b are perpendicular

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Answer 1

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Answer 2

Explanation:

Given ;

a = 5i - j -3k

b = i + 3j -5k

a+b = 6i + 2j - 8k

a-b = 4i - 4j + 2k

(a + b).(a - b)= 24-8-16

= 0

therefore ;

a+b and a-b are perpendicular.

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