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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• Let $\mathbf{a}=\mathbf{i}$ be a vector which makes an angle of ${{120}^{o}}$ with a unit vector b. Then the unit vector $(\mathbf{a}+\mathbf{b})$ is

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• If $\mathbf{a}=\mathbf{i}-\mathbf{j}$ and $\mathbf{b}=\mathbf{i}+\mathbf{k}$ , then a unit vector coplanar with $\mathbf{a}$ and $\mathbf{a}$ and perpendicular to $\mathbf{a}$ is

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• If $\theta$ be the angle between the unit vectors a and b, then $\cos \frac{\theta }{2}=$

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• If the vectors $6\mathbf{i}-2\mathbf{j}+3\mathbf{k},\,\,2\mathbf{i}+3\mathbf{j}-6\mathbf{k}$ and $3\mathbf{i}+6\mathbf{j}-2\mathbf{k}$ form a triangle, then it is

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