vectors-m

Related Questions

• The area of the parallelogram whose diagonals are $\frac{3}{2}\mathbf{i}+\frac{1}{2}\mathbf{j}-\mathbf{k}$ and $2\mathbf{i}-6\mathbf{j}+8\mathbf{k}$ is

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• The area of triangle whose vertices are $(1,\,2,\,3),\,(2,\,5,\,-1)$ and $(-1,\,1,\,2)$ is

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• If $\mathbf{a}=2\mathbf{i}+4\mathbf{j}-5\mathbf{k}$ and $\mathbf{b}=\mathbf{i}+2\mathbf{j}+3\mathbf{k}$, then $|\mathbf{a}\times \mathbf{b}|$ is

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• The position vector of a point C with respect to B is $\mathbf{i}+\mathbf{j}$ and that of B with respect to A is $\mathbf{i}-\mathbf{j}.$ The position vector of C with respect to A is

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• 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 $\frac{\text{Projection of vector }\mathbf{a}\text{ on vector }\mathbf{b}}{\text{Projection of vector }\mathbf{b}\text{ on vector }\mathbf{a}}=$

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