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Motion In A Plane

Question
CBSEENPH11017997

What is the angle subtended by the resultant of left parenthesis negative 2 straight i with hat on top minus 3 straight j with hat on top plus straight k with hat on top right parenthesis and left parenthesis negative 3 straight i with hat on top plus 3 straight j with hat on top minus straight k with hat on top right parenthesis with X-axis?

Solution

Here, 
straight A with rightwards harpoon with barb upwards on top space equals space left parenthesis negative 2 i with hat on top minus 3 j with hat on top space plus k with hat on top right parenthesis

B with rightwards harpoon with barb upwards on top space equals space left parenthesis negative 3 i with hat on top space plus space 3 j with hat on top space minus space k with hat on top right parenthesis 
Therefore, the angle subtended by the resultant of the vectors with X-axis is zero.