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Vector-Algebra

Find projection of vector \(\vec{b}=2\hat{i}+2\sqrt{2} \,\hat{j}-2\hat{k}\) on vector \(\vec{a}=\hat{i}-\hat{j}-\sqrt{2} \,\hat{k}\).


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This Chapter Vector-Algebra consists of the following topics

Find the scalar product of the vectors \(\vec{a}=6\hat{i}-7\hat{j}+5\hat{k} \,and \,\vec{b}=6\hat{i}-7\hat{k}\)

Find projection of vector \(\vec{b}=2\hat{i}+2\sqrt{2} \,\hat{j}-2\hat{k}\) on vector \(\vec{a}=\hat{i}-\hat{j}-\sqrt{2} \,\hat{k}\).

Find the magnitude of \(\vec{a}\) and \(\vec{b}\) which are having the same magnitude and such that the angle between them is 60° and their scalar product is \(\frac{1}{4}\).

Find the projection of vector \(\vec{b}=2\hat{i}+2\sqrt{2} \

\hat{j}-2\hat{k}\) on the vector \(\vec{a}=\hat{i}-\hat{j}-\sqrt{2} \

\hat{k}\).

Vector Algebra

Objective-Mathematics