Questions in vectors-m

Select	Question
	A vector of magnitude 14 lies in the xy-plane and makes an angle of ${{60}^{o}}$ with x-axis. The components of the vector in the direction of x-axis and y-axis are
	If $\mathbf{a}=4\mathbf{i}+6\mathbf{j}$ and $\mathbf{b}=3\,\mathbf{j}+4\,\mathbf{k},$ then the component of a along b is
	Let $\mathbf{b}=3\mathbf{j}+4\mathbf{k},\,\,\mathbf{a}=\mathbf{i}+\mathbf{j}$ and let ${{\mathbf{b}}_{1}}$ and ${{\mathbf{b}}_{2}}$ be component vectors of b parallel and perpendicular to a. If ${{\mathbf{b}}_{1}}=\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}$, then ${{\mathbf{b}}_{2}}=$
	The component of $\mathbf{i}+\mathbf{j}$ along $\mathbf{j}+\mathbf{k}$ will be
	The projection of vector $2\mathbf{i}+3\mathbf{j}-2\mathbf{k}$ on the vector $\mathbf{i}+2\mathbf{j}+3\mathbf{k}$ will be
	If vector $\mathbf{a}=2\mathbf{i}-3\mathbf{j}+6\mathbf{k}$ and vector $\mathbf{b}=-2\mathbf{i}+2\mathbf{j}-\mathbf{k},$ then $\frac{\text{Projection of vector }\mathbf{a}\text{ on vector }\mathbf{b}}{\text{Projection of vector }\mathbf{b}\text{ on vector }\mathbf{a}}=$
	The projection of a along b is
	If $a=2i+j+2k$ and $b=5i-3j+k,$ then the projection of b on a is
	The projection of the vector $i-2j+k$ on the vector $4i-4j+7k$ is
	The projection of the vector $i+j+k$ along the vector j is