vectors-m

Related Questions

• If the position vector of one end of the line segment AB be $2\mathbf{i}+3\mathbf{j}-\mathbf{k}$ and the position vector of its middle point be $3\,(\mathbf{i}+\mathbf{j}+\mathbf{k}),$ then the position vector of the other end is

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• If $\mathbf{a}+\mathbf{b}$ bisects the angle between a and b, then a and b are

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• The area of the triangle having vertices as $\mathbf{i}-2\mathbf{j}+3\mathbf{k},$ $\,-2\mathbf{i}+3\mathbf{j}+\mathbf{k}$ , $4\mathbf{i}-7\mathbf{j}+7\mathbf{k}$ is

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• If $\mathbf{a}=2\mathbf{i}+4\mathbf{j}+2\mathbf{k}$ and $\mathbf{b}=8\mathbf{i}-3\mathbf{j}+\lambda \mathbf{k}$ and $\mathbf{a}\,\bot \,\mathbf{b},$ then value of $\lambda $ will be

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• If the angle between the vectors a and b be $\theta$ and $\mathbf{a}\,.\,\mathbf{b}=\cos \theta ,$ then the true statement is

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