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SL ARORA-VECTORS-Problems For Self Practice
- The sum and difference of two vectors vec(A) and vec(B) are vec(A) +ve...
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- A force vec(F) = 5hati + 4hatj newton displaces a body through vec(S) ...
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- If the resultant of the vectors 3 hati +4 hatj +5 hatk and 5 hati +3 h...
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- Show that the vectors a =3hati - 2hatj+hatk, b=hati - 3hatj+5hatk and ...
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- If vectors vec(A),vec(B) and vec(C) have magnitudes 8,15 and 17 units ...
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- If vec A =vec B- vec C, then determine the angle between vec A and ve...
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- For two vectors vec(A) and vec(B) if vec(A) + vec(B) = vec(C) and A +B...
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- Prove that (vec(A) +2vec(B)) .(2vec(A) - 3vec(B)) = 2A^(2) +AB cos the...
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- Prove that the vectors vec(A) = 4 hati +3hatj +hatk and vec(B) = 12 ha...
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- If vec(A) = 2hati +3 hatj +hatk and vec(B) = 3hati + 2hatj + 4hatk, th...
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- Find the value of a for which the vectors 3 hati + 3hatj + 9 hatk and ...
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- Find a unit vector perpendicular the vectors vec(A) = 4 hati = hatj +3...
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- Find the sine of the angle between the vectors vec(A) = 3 hati - 4hatj...
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- Find a vector of magnitude 18 which is perpendicular to both the vecto...
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- Determine the area of the parallelogram whose adjacent sides are forme...
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- Find the area of the triangle formed by points O,A and B such that vec...
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- Find with the help of vectors, the area of the triangle with vertices ...
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- If vec(A) and vec(B) are two such vectors that |vec(A)| = 2, |vec(B)| ...
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- Find the moment about the point hati + 2hatj - hatk of a force represe...
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- Prove that (vec(a) + vec(b)) xx (vec(a) - vec(b)) = 2 (vec(b) xx vec(a...
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