Vectors Question 206

Question: A vector having magnitude 30 unit makes equal angles with each of X, Y and Z axes. The components of vector along each of X, Y and Z axes are

Options:

A) $ 10\sqrt{3} $ unit

B) $ \frac{10}{\sqrt{3}} $ unit

C) $ 15\sqrt{3} $ unit

D) 10 unit

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ A _{x}=A _{y}=A _{z} $ Now, $ A,=,\sqrt{A_x^{2}+,A_y^{2},A_z^{2}}=,\sqrt{3},A _{x} $
$ \

Therefore $ $ A _{x}=,\frac{A}{\sqrt{3}},=\frac{30}{\sqrt{3}},=,10\sqrt{3} $