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If the scalar product of the vector i+j+k with a unit
vector parallel to the sum of vectors 2i+4j–5k and
is equal to one, the is equal to
If a and b are two unit vectors such that a+2b and5a–4b are perpendicular to each other, then the angle between a and b is
Let a and b be two noncollinear unit vectors. if u = a–(a.b) b and v = a×b, then v is
If a.b and c are three noncoplanar vecotrs, then (a b c).[(a b)×(a c)] equals
If a, b and c are unit coplanar vectors, then the scalar triple product [2a–b 2b–c 2c–a] =
Let a, b and c be three vectors with magnitudes 1, 1 and 2 respectively. If ax(axc) + b = 0, then the acute angle between a and c is?
The lines whose direction cosine are given by the relations a2l b2m c2n = 0 and mn nl lm = 0 are parallel if
are three vectors of which every pair is non collinear. If the vector and are collinear with respectively then is :
If a straight line make angles α, β, γ and δ with four diagonals of a cube, then the value of sin^{2} α + sin^{2} β + sin^{2} γ + sin^{2} δ is –
If the lines intersect each other, then (λ + m) is equal to –
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