Cross Product of Two Vectors
Trending Questions
Q. Sum of coefficients of ˆi, ˆj and ˆk in the cross product (2ˆi+3ˆj+4ˆk) × (ˆi−ˆj+ˆk) will be___.
Q.
If →u=→a−→b and →v=→a+→b and |→a|=|→b|=2, then |→u×→v|=
2√16−(→a.→b)2
√16−(→a.→b)2
2√4−(→a.→b)2
√4−(→a.→b)2
Q. Let →a=2^i+^j−2^k and →b=^i+^j. If →c is a vector such that →a.→c=|→c|, |→c−→a|=2√2 and the angle between (→a×→b) and →c is 30∘ , then |(→a×→b)×→c| is equal to
- 23
- 32
- 2
- 3
Q. →a≠0, →a×→b=→a×→c⇒→b=→c
- True
- False
Q. A unit vector perpendicular to the plane determined by the points P(1, -1, 2), Q(2, 0, -1) and R(0, 2, 1) is
- 2^i+^j+^k√6
- 2^i+^j+^k3
- 2^i−^j−^k√3
- 2^i−^j−^k3
Q. A unit vector perpendicular to the plane of a=2^i−6^j−3^k, b=4^i+3^j−^k is
- 4^i+3^j−^k√26
- 2^i−6^j−3^k7
- 3^i−2^j+6^k7
- 2^i−3^j−6^k7
Q.
If →a×→b=→c, →b×→c=→a and a, b, c be the moduli of the vectors →a, →b, →c respectively, then
a=1 , b=1
c = 1, a = 1
→a.(→b×→c)=−1
b = 1, c = a
Q.
The scalars l and m such that l→a+m→b=→c where →a, →b and →c are given vectors, are equal to
l=(→c×→b).(→a×→b)|→a×→b|2 ; m=(→c×→a).(→b×→a)|→b×→a|2
l=(→c×→b).(→a×→b)|→a×→b| ; m=(→c×→a).(→b×→a)|→b×→a|
l=|→c×→b|2|→a×→b|2 ; m=|→c×→a|2|→b×→a|2
l=|→c×→a|2|→b×→a|2 ; m=|→c×→b|2|→a×→b|2
Q. If 3 vectors ¯¯¯a.¯¯b, ¯¯c all lie in one plane (i.e., they are coplanar) then ¯¯c. (¯¯¯aׯ¯b) = _______
___
Q.
The point of intersection of the lines →r×→a=→b×→a and →r×→b=→a×→b is
(→a−→b)
→a
→b
(→a+→b)