The number of distinct real values of λ, for which the vectors λ2i^+j^+k,i^−λ2j^+k^andi^+j^−λ2k^are coplanar isa. zero b. one c. two d. three
Write the cartesian equation of the following line given in vector form : r=2i^+j^−4k^+λ (i^−j^−k^)
Let a=i^+4j^+2k^, b=3i^− 2j^+7k^and c=2i^−j^+4k^Find a vector pwhich is perpendicular to both aand band p. c=18.
Two forces act at a point and are such that if the direction of one is reversed, the resultant is turned through a right angle. Show that the two forces must be equal in magnitude.
If a and b are vectors such that ∣∣a+b∣∣=29 and a×(2i^+3j^+4k^)=(2i^+3j^+4k^)×b, then a possible value of
Let a=(b×c)=2b and b,c are non parallel unit vectors. If angle between a and b is α and angle between a and c is β then ∣α−β∣ is equal to (A) 2π (B) 6π (C) 3π (D) 4π