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JEE Advanced
IMPORTANT
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If vectors a and b are non-collinear, then a|a|+b|b|

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Important Questions on Product of Vectors

HARD
JEE Advanced
IMPORTANT
Let a and bbe two non-collinear unit vectors. If u=aa·bb and V=a×b, then V is
HARD
JEE Advanced
IMPORTANT
The scalars  l and m such that  la+mb=c, where a,b and c are given vectors, are equal to
HARD
JEE Advanced
IMPORTANT
Let  r^ be a unit vector satisfying  r^×a=b, where a=3 and b=2
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JEE Advanced
IMPORTANT
a1,a2,a3R0 and a1+a2cos2x+a3sin2x=0 for all xR, then
HARD
JEE Advanced
IMPORTANT
If a and b are two vectors and angles between them is θ, then
HARD
JEE Advanced
IMPORTANT

If unit vectors a and b are inclined at an angle 2θ such that |ab|<1  and 0θπ, then θ lies in the interval 

HARD
JEE Advanced
IMPORTANT
a, b and c are non-collinear if a×b×c+a.bb=42xsinyb+(x21)c and c.ca=c. Then,