Vectors lie in the xy plane. We can deduce that if: A) A_x² + A_y² = B_x² + B_y² B) A_x + A_y = B_x + B_y C) A_x = B_x and A_y = B_y D) A_y/A_x = B_y/B_x E) A_x = A_y and B_x = B_y

Question

Quizplus · Accepted Answer

Since all vectors lie in the xy plane, their z component is zero. Therefore, vector A_{is equal to (A_{x, A_{y, 0) and vector A} is equal to (A}x, A}y, 0). Similarly, vector B_{is equal to (B_{x, B_{y, 0) and vector B} is equal to (B}x, B}y, 0). Therefore, the x and y components of vector A_{and vector A} are equal to the x and y components of vector B_{and vector B}, respectively. Hence, option C is correct.

Vectors Lie in the Xy Plane