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Motion In A Plane

Question
CBSEENPH11018243

Define position vector and write the position vector of point straight P left right arrow left parenthesis straight x comma space straight y comma space straight z right parenthesis.

Solution

A vector drawn from reference point to a given point is known as position vector of that point. 
Position vector of point P is space OP with rightwards arrow on top. 
Here,     straight P left right arrow left parenthesis straight x comma space straight y comma space straight z right parenthesis
Therefore, 
OP with rightwards arrow on top space equals space left parenthesis straight x minus 0 right parenthesis straight i with hat on top space plus space left parenthesis straight y minus 0 right parenthesis straight j with hat on top plus left parenthesis straight z minus 0 right parenthesis straight k with hat on top 
    space equals straight x straight i with hat on top plus straight y straight j with hat on top plus straight z straight k with hat on top