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AAKASH SERIES-VECTORS-Practice Sheet (Exercise-III) (Multiplication of Vectors (Level-I)) (Straight Objective Type Questions)
- If vec(P) = I + 2j + 6k, its direction cosines are
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- A vector makes angle with X,Y and Z axes that are in the ratio 1:2:1 r...
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- If a vector vec(A) makes angles 45^(@) and 60^(@) with x and y axis re...
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- If alpha, beta and gamma are the angles made by a vector with X, Y and...
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- If P = 2i + 3j - 4k and Q = 5i + 2j + 4k find the angle between the t...
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- If the vectors vec(P) = a hat(i) + a hat(j) + 3 hat(k) and vec(Q) = a ...
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- The angle between the vectors (i + j + k) and (i- j - k) is
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- If (vec(A) + vec(B)) is perpendicular to vec(B) and (vec(A) + 2 vec(B)...
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- vec(A) + vec(B) = 2hat(i) and vec(A) - vec(B) = 4 hat(i) then angle b...
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- If the vectors 2 hat(i) + 3hat(j) + c hat(k) and -3i + 6k are orthogon...
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- If vec(A) = 2i + 3j and vec(B) =2 j + 3k the component of vec(B) along...
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- The component of vec(A) along vec(B) is sqrt3 times that of the compon...
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- The projection of a vector vec(r ) = 3 hat(i) + hat(j ) + 2 hat(k) on ...
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- Find the component (projection) of (-I + j) in the direction of i
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- Projection of the vector 2 hat(i) + 3hat(j) + 2hat(k) on the vector ha...
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- If vec(a) = 2 hat(i) + 3hat(j) + 6hat(k) and vec(b) = 3hat(i) + 4hat(j...
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- A force of 2i + 3j + 2k N acts a body for 4s and produces a displaceme...
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- When a force (8i + 4j) newton displace a particle through (3i- 3j) met...
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- The cross product of the vectors (2i - 3j + 4k) and (I + 4j -5k) is
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- The scalar and vector products of two vectors are 48sqrt(3) and 144 re...
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