Vectors 1 Question 15
16. The number of vectors of unit length perpendicular to vectors $\overrightarrow{\mathbf{a}}=(1,1,0)$ and $\overrightarrow{\mathbf{b}}=(0,1,1)$ is
(1987, 2M)
(a) one
(b) two
(c) three
(d) infinite
Show Answer
Answer:
Correct Answer: 16. $(2: 1)$
Solution:
- A vector perpendicular to $\overrightarrow{\mathbf{a}}$ and $\overrightarrow{\mathbf{b}}$ is $\pm \frac{(\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}})}{|\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}|}$.
