EASY
12th CBSE
IMPORTANT
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A vector r has magnitude 14 and direction ratios 2, 3, -6 . Find the direction cosines and magnitude of the components of r, given that r makes an acute angle with x -axis.[ Enter the x component of vector r].

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Important Questions on Vector Algebra

EASY
12th CBSE
IMPORTANT
Find a vector of magnitude 6, which is perpendicular to both the vectors 2i^-j^+2k^ and 4i^-j^+3k^. (Write the coefficient of i^ in the obtained vector respectively).
EASY
12th CBSE
IMPORTANT
The cosine of the angle between the vectors 2i^-j^+k^ and 3i^+4j^-k^ is of the form 1a, then the value of a is 
EASY
12th CBSE
IMPORTANT
If a+b+c=0, determine whether a×b, b×c and c×a are equal or not. Interpret the result geometrically?
EASY
12th CBSE
IMPORTANT
The sine of the angle between the vectors a=3i^+j^+2k^ and b=2i^-2j^+4k^ is of the form 2a, then a=
EASY
12th CBSE
IMPORTANT
If A, B, C, D are the points with position vectors i^+j^-k^, 2i^-j^+3k^, 2i^-3k^, 3i^-2j^+k^, respectively, if the projection of AB along CD is of the form a, then a=
EASY
12th CBSE
IMPORTANT
Area of the triangle ABC with vertices A(1,2,3), B(2,-1,4) and C(4,5,-1) is given by k2 sq. units. Find the value of k.
EASY
12th CBSE
IMPORTANT
Using vectors, prove that the parallelogram on the same base and between the same parallels are equal in area.
EASY
12th CBSE
IMPORTANT
Prove that in any triangle ABC, cos A=b2+c2-a22bc, where a, b, c are the magnitudes of the sides opposite to the vertices A, B, C, respectively.