Question

If a, b and c are unit coplanar vectors, then find [2a - b, 2b - c, 2c - a].

Answer 1

Answer:

Given [a b c] = 0 Now, [2a – b 2b – c 2c – a] = (2a – b).{(2b – c) × (2c – a)} = (2a – b).{4(b × c) – 2(b × a) + (c × a)} = 8 (a.(b × c)) – (b.(c × a)) = 8 [a b c] – [a b c] = 7 [a b c] = 0.Read more on Sarthaks.com - https://www.sarthaks.com/568514/if-a-b-and-c-are-unit-coplanar-vectors-then-the-value-of-2a-b-2b-c-2c-a-is-a-0-b-1-c-3-d-3

Step-by-step explanation:

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