A vector translation translates the figure on the coordinate from its current location to another
The vector that translates A(-2, 7) to A'(6, 4) is [tex]\dbinom{8}{-3}[/tex]
The given preimage of the vector = A(-2, 7)
The given image of the vector = A'(6, 4)
Required: To find the vector that translates A(-2, 7) to A'(6, 4)
Solution:
The vector is given in component form, therefore, the vector, ΔA, that translates (moves from) vector A(-2, 7) to A'(6, 4) is the difference between the two vectors which is given as follows;
ΔA = A' - A = ((x' - x), (y' - y)
∴ ΔA = ((6 - (-2)), (4 - 7))
ΔA = (8, -3)
In vector form, vector that translates A to A' is [tex]\dbinom{8}{-3}[/tex]
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