Which of the following vector is equally inclined with the coordinate axes?

Step-by-step solution

We know that a vector is equally inclined with the coordinate axes if its direction cosines are equal. Now, let a → = 4 i ^ + 4 j ^ + 4 k ^ The direction ratios are a = 4 ,   b = 4 ,   c = 4 And a → = 4 2 + 4 2 + 4 2 = 4 3 The direction cosines of a → are a a → ,   b a → ,   c a → = 1 3 ,   1 3 ,   1 3 Since the direction cosines are equal, the vector 4 i ^ + 4 j ^ + 4 k ^ is equally inclined with the coordinate axes.