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MODERN PUBLICATION-VECTOR-EXERCISE
- Determine the area of parallelogram whose adjacent sides are the vecto...
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- Prove that (vec a × vec b)^(2) = a^(2)b^(2)-(vec a . vec b)^(2).
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- Prove that (vec a × vec b).(vec c × vec d) = [[vec a.vec c,vec a.vec d...
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- Find a unit vector in direction of vec a-vec b, when vec a = 4 hat i +...
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- If vec a and vec b be perpendicular vectors, then prove that (vec a + ...
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- Find the value of lambda so that the three vectors are co-planar. (2,-...
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- Determine k such that a vector vec(r) is at right angles to each of th...
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- Find the scalar and vector projection of veca on vecb. veca = hati+hat...
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- Calculate the area of the triangle ABC (by vector method) where A(1,2,...
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- Prove that : |veca + vecb|le|veca|+|vecb|.
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- Show that vec a × (vec b+vec c) + vec b × (vec c+vec a) + vec c × (vec...
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- If vec(a) and vec(b) are unit vectors, then what is the angle between ...
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- Prove by vector method that the diagonals of a parallelogram bisect ea...
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- Prove by vector method that in a parallelogram, the line joining a ve...
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- If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
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- Prove the following by vector method. Median to the base of an isoscel...
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- Prove the following by vector method. The diagonals of a rhombus are a...
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- Prove the following by vector method. An angle inscribed in a semi-cir...
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- Prove the following by vector method. In a triangle AOB, mangleAOB = 9...
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- Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb). Interpret this res...
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