If alpha, beta and gamma are direction c...

If `alpha, beta` and `gamma` are direction cosines of the vector `vec(x)` then `1+cos2alpha+cos 2beta+cos 2lambda=` …………..

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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )

The direction cosines of bar( r )=(6,-2,3) are …………
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For the vectors A(-1,-2,3) and B(1,2,-1) the direction cosines of vec(...
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If alpha, beta and gamma are direction cosines of the vector vec(x) th...
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If the vector vec(b) is collinear to the vector bar(a) and bar(a)=(2sq...
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ABCDEF is a regular hexagone. AB+AC+AD+AE+AF=lambda AD then lambda = …...
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If the vectors 10hati+3hatj,12hati-15hatj and a hati+11 hatj are colli...
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The direction of vector vec(b) is North-East and that vec( c ) is Nort...
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If bar(x)=(-1,4,-2),bar(y)=(-4,16,-8) then |bar(x)+bar(y)|…………|bar(x)|...
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The unit vector in the direction of the sum of the vectors (1, 1, 1),(...
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The vector 2hati+2hatj-hatk makes ………………measure of angles with the axe...
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The unit vector in the direction 6hati-2hatj+3hatk is ………….
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The unit vector parallel to the vecotr bar(a)-bar(b) is ……………. where...
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If bar(a)=(1,1,1),bar(b)=(4,-2,3) and bar( c )=(1,-2,1) then the vect...
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The unit vector in the opposite direction of bar(x)+bar(y)-2bar(z) is ...
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The vector with magnitude 17sqrt(2) and in the opposite direction of (...
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Out of the following …………. Is the unit vector in the direction of (3ha...
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The position vector of the point P is (4, 5, -3). The distance of the ...
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The position vector of a point A is (4, 2, -3). If the distance of the...
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vec(a)=hati+hatj+hatk,vec(b)=hati-hatj+hatk and vec( c )=hati+2hatj-...
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A(1, 1, 2), B(4, 3, 1) and C(2, 3, 5) are vertices of a triangle ABC. ...
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