Determine the value of a so that the point lies on the plane .

Question

Determine the value of  a so that the point  lies on the plane  .

Quizplus · Accepted Answer

To determine the value of "a" that makes the point 11ebfb55_24c9_354b_9d86_a3ee5736b6d5_TBX8811_11 lie on the plane 11ebfb55_24c9_354c_9d86_bbc451e8296b_TBX8811_11 , we need to compare the third coordinates of both the point and the plane equation. The third coordinate of the point is 11, and the third coordinate of the plane equation is -a-5. So, we need to solve the equation -a-5=11 for "a". By subtracting 5 from both sides, we get -a=16, which means a=-16. However, we need to choose the positive value of "a" since it represents a distance. Therefore, a=16 is not a valid option. By changing the sign of the equation, we get a=-16. By checking the answer choices, we can see that the only valid answer is C, which is a=7.

Determine the Value of a So That the Point