If i, j,k are unit vectors along three mutually perpendicular directions, then ​(a) i · j = 1

Question

If \(\hat i , \hat j , \hat k\) are unit vectors along three mutually perpendicular directions, then

(a) \(\hat i \cdot \hat j = 1\)

(b) \(\hat i \times \hat j = 1\)

(c) \(\hat i \cdot \hat k =0\)

(d) \(\hat i \times \hat k = 0\)

Answer 1

Correct option is : (c) \(\hat i \cdot \hat k = 0\) 

For mutually perpendicular vectors,

\(\hat i \cdot \hat j = \hat i \cdot k = \hat j \cdot k = 0\)