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0 votes
46.7k views
in Vector algebra by (36.4k points)

Let a = i + j + k, b = i – j + k and c = i – j – k be three vectors. A vector v in the plane of a and b, whose projection on c is 1/√3, is given by 

(a) i – 3j – 3k 

(b) –3i – 3j + k 

(c) 3i – j + 3k 

(d) i + 3j – 3k

1 Answer

+1 vote
by (33.1k points)
selected by
 
Best answer

Answer is (c) 3i – j + 3k

Explanation:

Given v, a, and b are coplaner,

so,

Thus, v = 3i – j + 3k

by (15 points)
Why can't it be v=(a constant)a+(a constant)b
by (10 points)
Answer will come same with  that method also but this method is convenient then that

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