vectors-m

Related Questions

• If $\theta$ be the angle between two vectors a and b, then $\mathbf{a}.\mathbf{b}$ $\ge 0$ if

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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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• If the points $\mathbf{a}+\mathbf{b},\,\,\mathbf{a}-\mathbf{b}$ and $\mathbf{a}+k\,\mathbf{b}$ be collinear, then k =

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• If a and b are unit vectors such that $\mathbf{a}\times \mathbf{b}$ is also a unit vector, then the angle between a and b is

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• Let $\alpha ,\,\,\beta ,\,\,\gamma $ be distinct real numbers. The points with position vectors $\alpha \mathbf{i}+\beta \mathbf{j}+\gamma \mathbf{k},\,\,\beta \mathbf{i}+\gamma \mathbf{j}+\alpha \mathbf{k},\,\,\gamma \mathbf{i}+\alpha \mathbf{j}+\beta \mathbf{k}$

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