vectors-m

Related Questions

• If $|a|\,=\,|\mathbf{b}|,$ then $(a+b)\,.\,(a-b)$ is

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• If the position vectors of the vertices A, B, C of a triangle ABC are $7\mathbf{j}+10\mathbf{k},$ $-\mathbf{i}+6\mathbf{j}+6\mathbf{k}$ and $-4\mathbf{i}+9\mathbf{j}+6\mathbf{k}$ respectively, the triangle is

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• 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 ${{\mathbf{b}}_{2}}=$

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• The components of a vector a along and perpendicular to the non-zero vector b are respectively

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• If the position vectors of the points A, B, C, D be $2\mathbf{i}+3\mathbf{j}+5\mathbf{k},$ $\mathbf{i}+2\mathbf{j}+3\mathbf{k},\,\,-5\mathbf{i}+4\mathbf{j}-2\mathbf{k}$ and $\mathbf{i}+10\mathbf{j}+10\mathbf{k}$ respectively, then

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