vectors-m

Related Questions

• If the position vectors of the vertices of a triangle be $6\mathbf{i}+4\mathbf{j}+5\mathbf{k},\,\,\,4\mathbf{i}+5\mathbf{j}+6\mathbf{k}$ and $5\mathbf{i}+6\mathbf{j}+4\mathbf{k},$ then the triangle is

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• The vectors $\mathbf{i}+2\mathbf{j}+3\mathbf{k},$ $\lambda \mathbf{i}+4\mathbf{j}+7\mathbf{k},$ $-3\mathbf{i}-2\mathbf{j}-5\mathbf{k}$ are collinear, if $\lambda$ equals

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• If the vectors $\mathbf{i}-3\mathbf{j}+2\mathbf{k}$, $-\mathbf{i}+2\mathbf{j}$ represents the diagonals of a parallelogram, then its area will be

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• Let $\mathbf{a},\,\mathbf{b},\,\mathbf{c}$ be three vectors such that $\mathbf{a}\ne 0,$ and $\mathbf{a}\times \mathbf{b}=2\mathbf{a}\times \mathbf{c},\,\,|\mathbf{a}|\,=\,|\mathbf{c}|\,=\,1,\,|\mathbf{b}|\,=4$ and $|\mathbf{b}\times \mathbf{c}|\,=15.$ If $\mathbf{b}-2\mathbf{c}=\lambda \mathbf{a},$ then $\lambda$ equals to

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• If a, b, c are the position vectors of three collinear points, then the existence of x, y, z is such that

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