vectors-m

Related Questions

• $|\mathbf{a}\times \mathbf{i}{{|}^{2}}+|\mathbf{a}\times \mathbf{j}{{|}^{2}}+|\mathbf{a}\times \mathbf{k}{{|}^{2}}=$

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• The direction cosines of the resultant of the vectors $(\mathbf{i}+\mathbf{j}+\mathbf{k}),$ $(-\mathbf{i}+\mathbf{j}+\mathbf{k}),$ $(\mathbf{i}-\mathbf{j}+\mathbf{k})$ and $(\mathbf{i}+\mathbf{j}-\mathbf{k}),$ are

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• The number of vectors of unit length perpendicular to vectors $\mathbf{a}=(1,\,\,1,\,\,0)$ and $\mathbf{b}=(0,\,\,1,\,\,1)$ is

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• The vector a coplanar with the vectors i and j, perpendicular to the vector $\mathbf{b}=4\mathbf{i}-3\mathbf{j}+5\mathbf{k}$ such that $|\mathbf{a}|\,=\,|\,\mathbf{b}|$ is

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• If $a=(1,\,-1,\,2),\ b=(-2,\,3,\,5)$, $\mathbf{c}=(2\,,\,-2,\,4)$ and i is the unit vector in the x-direction, then $(a-2b+3c)\,.\,i=$

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