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Question

Find the image of :

(i) (-2, 3, 4) in the yz-plane.

(ii) (-5, 4, -3) in the xz-plane.

(iii) (5, 2, -7) in the xy-plane.

(iv)(-5, 0, 3) in the xz-plane.

(v)(-4, 0, 0) in the xy-plane.

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Solution

(i) YZ plane is x-axis, so sign of x will be changed. So answer is (2, 3, 4). (ii) XZ plane is y-axis, so sign of y will be changed. So, answer is (-5, -4, -3)

(iii) XY plane is z-axis, so sign of Z will change. So, answer is (5, 2, 7)

(iv) XZ plane is y-axis, so sign of Y will change. So, answer is (-5, 0, 3)

(v) XY plane is Z-axis, so sign of Z will change. So, answer is (-4, 0, 0)


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