Q.

a=i-j+3k; b=3i-5j+6k . The magnitude of the projection of 2a-b on a+b is

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a

11210

b

22133

c

2210

d

225

answer is B.

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Detailed Solution

2a-b=-i+3j    a+b=4i-6j+9k (2a-b)·(a+b)a+b=-4-1816+36+81=22133

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a=i-j+3k; b=3i-5j+6k . The magnitude of the projection of 2a-b on a+b is