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If line is parallel to the plane , then the value of m is
Let be a vector perpendicular to , where then (ℓ +m+n) is equal to
If are three noncoplaner nonzero vectors and is any vector in space, then is equal to
If a, b, c are pth, qth, rth terms of an H.P and
If the unit vectors are inclined at an angle 2θ and , then for θ ∈ [0, π], θ may lie in the interval
Consider a tetrahedron with faces f_{1}, f_{2}, f_{3}, f_{4 }Let be the vectors whose magnitudes are respectively equalt to the areas of f_{1}, f_{2}, f_{3}, f_{4} and whose directions are perpendicular to these faces in the outward direction. Then
Let be noncoplaner unit vectors equally inclined to one another at an acute angle θ. Then in terms of θ is equalt to
Let and . If the vector lies in the plane of , then x equals
Images of the point P with position vector ^{ }in the line whose vector equation is has the position vector
Let be such that . If the projection is equal to that of are perpendicular to each other, then equals.
Let and . If is a unit vector such that then is equal to
Equation of a line which passes through a point with position vector , parallel to the plane and perpendicular to the line
Points L, M and N lie on the sides AB, BC and CA of the triangle ABC such that ℓ(AL) : ℓ(LB) = ℓ(BM) :ℓ(MC) = ℓ(CN) : ℓ(NA) = m :n, then the areas of the triangles LMN and ABC are in the ratio
If the vectors (a ≠ b ≠ c ≠ 1) are coplanar, then the value of is equal to
The vectors are coinitial. The vector which is bisecting the angle between the vectors and is having the magnitude √6 is
If A_{1}, A_{2}, A_{3}, .........A_{n }are the vertics of a regular plane polygon with n sides and O is its centre then equals
For any four points P,Q, R, S, is equal to 4 times the
area of the triangle
If a line has a vector equation , then which of the following statements hold goods ?
The vector directed along the external bisector of the angle between the vectors and with
Which of the following acts in accordance with right hand screw rule?
205 videos264 docs139 tests

205 videos264 docs139 tests
