Find the position point of the vector for the vector having initial point P and terminal point Q for P=(4, -1, 0) and Q=(-4, 4, -2)

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position-point

#1

Find the position point of the vector for the vector having initial point P and terminal point Q for P=(4, -1, 0) and Q=(-4, 4, -2)

Answer:

Consider position vector as an arrow on the coordinate system that starts from the initial point and points towards the terminal point.You must subtract the initial point from the terminal point to find the position vector.Lets name the position vector as ‘A’.So the formula for this question is A=Q(-4,4,-2) - P(4,-1,0).To do this you must subtract the first component of P from Q to find the first component of the A.And you must do the same with the second and the third components to find A.Result is A( -4-(4) , 4-(-1) , -2-(0) ) = A(-8,5,-2).