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Write the direction ratio's of the vecto...

Write the direction ratio's of the vector `3vec(a) + 2vec(b)` where `vec(a) = hat(i) + hat(j) - 2hat(k)` and `vec(b) = 2hat(i) - 4hat(j) + 5hat(k)`.

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The correct Answer is:
7, -5, 4
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Find the scalar projection of the vector vec(a) = 3hat(i) + 6hat(j) + 9hat(k) on vec(b) = 2hat(i) + 2hat(j) - hat(k) .

Find the projection of vec(b) + vec(c) on vec(a) , where vec(a) = 2hat(i) - 2hat(j) + hat(k), vec(b) = hat(i) + 2hat(j) - 2hat(k) and vec(c) = 2hat(i) - hat(j) + 4hat(k) .

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