vectors-m

Related Questions

• The position vectors of A and B are $\mathbf{i}-\mathbf{j}+2\mathbf{k}$ and $3\mathbf{i}-\mathbf{j}+3\mathbf{k}.$ The position vector of the middle point of the line AB is

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• If $\hat{i}, \hat{j}, \hat{k}$ are unit vectors, then

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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 $\mathbf{a}=\mathbf{i}-2\mathbf{j}$ and $\mathbf{b}=2\mathbf{i}+\lambda \mathbf{j}$ are parallel, then $\lambda $ 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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