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MODERN PUBLICATION-VECTOR-EXERCISE
- If vec a, vec b, vec c are unit vectors and vec a + vec b + vec c = 0 ...
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- Are three points with position vectors vec a + vec b, vec a - vec b an...
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- Find the unit vector perpendicular to i + j and i + k.
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- If vec a × vec b = vec b × vec c != 0, Prove that vec a + vec c = m ve...
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- Let vec a is any vector than what is the value of (vec a.hat i)hat i+(...
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- What is the value of (hat i+hat j)×(hat j+hat k).(hat k+hat i)?
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- If vec Avec C and vec Bvec D are the diagonals of the parallelogram AB...
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- Find the area of the parallelogram whose adjacent sides are gives by t...
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- If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |ve...
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- 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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