If the magnitudes of two vectors are 3 a...

If the magnitudes of two vectors are 3 and 4 and their scalar product is 6, then find the angle between the two vectors.

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SL ARORA-Motion in a Plane-Example

Prove that the vectors vec(A) = hati +2 hatj +3hatk and vec(B) = 2hati...
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Two vector vec A = 5hati+7hatj-3hatk and vec B=2hati+2hatj-alphahatk a...
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If the magnitudes of two vectors are 3 and 4 and their scalar product ...
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A body constrained to move along the z-axis of a co-ordinate system is...
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A force of 7 hati+ 6 hatk newton makes a body move on a rough plane wi...
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Three vectors vec(A),vec(B) and vec(C) are such that vec(A) = vec(B)+v...
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If |vec A + vec B|=|vec A-vecB|, finf the angle between vec A and vec ...
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If vector P, Q and R have magnitude 5,12,and 13 units and vec(P)+vec(Q...
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Determine the angles which the vector vec(A) = 5 hati + 0 hatj +5hat...
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If unit vectors hat(a) and hat(b) are inclined at angle theta, then pr...
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If vec(A) +vec(B) = vec(C) and A^(2) +B^(2) = C^(2), then prove that v...
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Motion in two dimensions, in a plane can be studied by expressing posi...
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Prove that the vectors vec(A) = 2hati - 3hatj - hatk and vec(B) =- 6 h...
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Calculate the area of a paralleleogram whose two adjacent sides are fo...
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If vec(A) and vec(B) denpte the sides of a parallelogram and its area ...
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The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and...
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Find a unit vector perpendicular to each one of the vectors vec(a) = 4...
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Determine the sine of the angle between the vectors ( 3 hat i+ 3hat j+...
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Show that (vec(A) - vec(B)) xx (vec(A) +vec(B)) = 2(vec(A) xx vec(B))
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For any three vectors vec(A), vec(B) and vec(C) prove that vec(A) x...
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