vectors-m

Related Questions

• The position vectors of the points A, B and C are $\mathbf{i}+\mathbf{j},\,\,\mathbf{j}+\mathbf{k}$ and $\mathbf{k}+\mathbf{i}$ respectively. The vector area of the $\Delta ABC=\pm \,\frac{1}{2}\overrightarrow{\alpha }$ where $\overrightarrow{\alpha }=$

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• The value of x for which the angle between the vectors $\mathbf{a}=x\mathbf{i}-3\mathbf{j}-\mathbf{k},\,\,\mathbf{b}=2x\mathbf{i}+x\mathbf{j}-\mathbf{k}$ is acute and the angle between the vectors b and the axis of ordinate is obtuse, are

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• The unit vector perpendicular to the vectors $\mathbf{i}-\mathbf{j}+\mathbf{k}$ and $2\mathbf{i}+3\mathbf{j}-\mathbf{k}$ is

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• If a, b, c are the position vectors of three collinear points, then the existence of x, y, z is such that

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• A unit vector in the plane of the vectors $2\mathbf{i}+\mathbf{j}+\mathbf{k},\,$ $\,\mathbf{i}-\mathbf{j}+\mathbf{k}$ and orthogonal to $5\mathbf{i}+2\mathbf{j}+6\mathbf{k}$ is

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