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

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Answer:

Correct Answer: 16. $(2: 1)$

Solution:

  1. A vector perpendicular to $\overrightarrow{\mathbf{a}}$ and $\overrightarrow{\mathbf{b}}$ is $\pm \frac{(\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}})}{|\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}|}$.


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