vectors-m

Related Questions

• If $\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0},\,\,\mathbf{c}\ne \mathbf{0}$, then true statement is

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• The angle between the vectors $(2\mathbf{i}+6\mathbf{j}+3\mathbf{k})$ and $(12\mathbf{i}-4\mathbf{j}+3\mathbf{k})$ 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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• If $|\mathbf{a}|\,=4,\,|\mathbf{b}|\,=2$ and the angle between a and b is $\frac{\pi }{6}$, then ${{(\mathbf{a}\times \mathbf{b})}^{2}}$ is equal to

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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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