VectorHard
Question
If
and
are unit vectors and θ is the acute angle between them, then
is a unit vector for
and
are unit vectors and θ is the acute angle between them, then
is a unit vector forOptions
A.exactly two values of θ
B.more than two values of θ
C.no value of θ
D.exactly one value of θ
Solution
|
| = 1

sin θ =
Hence there is exactly one value of θ for which
is a unit vector.
| = 1
sin θ =
Hence there is exactly one value of θ for which
is a unit vector.Create a free account to view solution
View Solution FreeMore Vector Questions
The three vectors taken two at a time form three planes, The three unit vectors drawn perpendicular to these planes form...If = (1, 1, 1), = (0, 1, − 1) are two vectors and is a vector such that × = and . = 3, then b equals-...Let $\overrightarrow{a} = 2\widehat{i} - \widehat{j} + \widehat{k}$ and $\overrightarrow{b} = \lambda\widehat{j} + 2\wid...The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors such that . Then the volu...Consider points A, B, C and D with position vectors and respectively. Then ABCD is a...