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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
- If (vec a xx vec b)^(2) + (vec a . vec b)^(2) = 144 and |vec a| = 4 th...
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- If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...
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- A set of direction cosines of the vector which is equally inclined to ...
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- If the direction ratios of a vector are 6,2,3, then its direction cosi...
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- A vector makes angles 45^(o) and 60^(o) with positive axes of x and y ...
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- If alpha, beta, gamma are the angle made by a vector with the coordina...
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- If alpha, beta, gamma are the angle made by a vector with the coordina...
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- If vec a = -2i+3j, vec b = i+j+k, vec c = lambda i + 4j +2k are the th...
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- (vec a - vec b).[(vec b - vec c) xx (vec c - vec a)] =
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- With usual notation [i-j j-k k-i] =
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- A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...
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- The length of the vector i-2j+2k is
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- If vec OA = i-2j+k, vec OB = 2i+2j-k, then vec BA =
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- If vec a = i-j+2k, vec b = 2i+3j+k and vec c = i-k then the magnitude ...
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- If A, B, C and D aare four points and vec AB = vec DC then vec AC + ve...
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- If vec a = i-j+k and vec b = 2i+j-k then |2 vec a - vec b|=
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- If vec a and vec b are unit vectors then vec a + vec b is
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- If vec a = i+j-2k, vec b = -i+2j+k and vec c = i-2j+2k then a unit vec...
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- If vec OA = i-j and vec OB = j-k, the unit vector perpendicular to the...
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- If I,j are unit vectors and I xx j = k then (i+j) xx (j-i) =
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