VectorHard
Question
If
are non-coplanar vectors and λ is a real number then
for -
Options
A.exactly two values of λ
B.exactly three values of λ
C.no value of λ
D.exactly one value of λ
Solution
L. H. S = 
=
[a b c]
R. H. S. =
⇒ λ4 [a b c] = - [a b c]
⇒ λ4 = - 1 which is not possible.
=
R. H. S. =
⇒ λ4 [a b c] = - [a b c]
⇒ λ4 = - 1 which is not possible.
Create a free account to view solution
View Solution FreeMore Vector Questions
If four points A (1, 2, − 1), B (0, 1, m), C (−1,2,1), D (2, 1, 3) are coplanar, then the value of m is-...If and are vectors of equal magnitude 2 and α be the angle between them, then magnitude of ( + ) will be 2 if -...If î + 2ĵ + 3, − î − ĵ + 8, −4î + 4ĵ + 6 be p.v. of A,B, and C respectiv...Let are three non-coplanar vector such that If , then -...Let and be three non-zero vectors such that no two of these are collinear. If the vector is collinear with and is collin...