vectors-m

Related Questions

• The vectors $\overrightarrow{AB}=3\mathbf{i}+4\mathbf{k},$ and $\overrightarrow{AC}=5\mathbf{i}-2\mathbf{j}+4\mathbf{k}$ are the sides of a triangle ABC. The length of the median through A is

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• The value of x for which the angle between the vectors $\mathbf{a}=-\,3\mathbf{i}+x\mathbf{j}+\mathbf{k}$ and $\mathbf{b}=x\mathbf{i}+2x\mathbf{j}+\mathbf{k}$ is acute and the angle between b and x-axis lies between $\pi /2$ and $\pi $satisfy

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• If $\mathbf{a}\times \mathbf{b}=\mathbf{b}\times \mathbf{c}\ne 0,$ where a, b and c are coplanar vectors, then for some scalar k

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• If $\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0}$ and $|\mathbf{a}+\mathbf{b}|\,=\,|\mathbf{a}-\mathbf{b}|,$ then the vectors a and b are

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

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