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Motion In A Plane

Question
CBSEENPH11018030

What is the unit vector in direction of vector straight P with rightwards arrow on top space equals space minus 3 straight i with hat on top plus 2 straight j with hat on top plus 5 straight k with hat on top?

Solution

Unit vector in direction of straight P with rightwards arrow on top = fraction numerator straight P with rightwards harpoon with barb upwards on top over denominator vertical line straight P with rightwards harpoon with barb upwards on top vertical line end fraction 
Therefore, we get, 
P with hat on top space equals space fraction numerator 1 over denominator square root of 38 end fraction open parentheses negative 3 straight i with hat on top plus 2 straight j with hat on top plus 5 straight k with hat on top close parentheses