Q. 224.0( 4 Votes )

# <span lang="EN-US

Answer :

There are two vectors = 2 - 2 and = 7 + 2 - 3 and now we have to express as the sum of two vectors 1 and 2 such that 1 is parallel to and 2 is perpendicular to .

Let 1 = p + q + r and 2 = x + y + z So, 1 = λ because both the vectors are parallel to each other and 2. = 0 because both the vectors are perpendicular to each. This is the sum equation.

Taking dot product of on both sides, we get, 18 = 2p – q – 2r,

18 = 4λ + λ + 4λ,

λ = 2.

So, = 4 - 2 - 4  = 3 + 4 Rate this question :

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