turkey-yks 2019 Q39

turkey-yks · Other · yks-ayt Vectors Introduction & 2D Vector Word Problem / Physical Application

In the rectangular coordinate plane, a point $P ( a , b )$ is rotated counterclockwise by $90 ^ { \circ }$ around the origin, and then the resulting point is translated 3 units in the positive direction along the x-axis and 1 unit in the positive direction along the y-axis, yielding the point $P ( a , b )$ again. Accordingly, what is the product $\mathbf { a } \cdot \mathbf { b }$?
A) 0
B) 1
C) 2
D) 3
E) 4

In the rectangular coordinate plane, a point $P ( a , b )$ is rotated counterclockwise by $90 ^ { \circ }$ around the origin, and then the resulting point is translated 3 units in the positive direction along the x-axis and 1 unit in the positive direction along the y-axis, yielding the point $P ( a , b )$ again.\\
Accordingly, what is the product $\mathbf { a } \cdot \mathbf { b }$?\\
A) 0\\
B) 1\\
C) 2\\
D) 3\\
E) 4

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