Question

show that the points A(-7,4,-2) B(-2,1,0) and C(3,-2,2) are collinera ​

Answer 1

Answer:

Step-by-step explanation:

To prove that the given three points are collinear We have to prove that there determinant is zero (0)

Solution is given in the attachment provided. So please have a look at it .

If any doubts , drop a doubt in comment section.

Thanks for the question.

Answer 2

The three points  A(-7,4,-2), B(-2,1,0) and C(3,-2,2) are collinear.

Step-by-step explanation:

We are given three points in the question:

A(-7,4,-2), B(-2,1,0) and C(3,-2,2)

If the area of triangle formed by these points is zero, then, the three points are collinear.

Thus, if the determinant of the three vertices is zero, then, the points are collinear.

$\left[\begin{array}{ccc}-7&4&-2\\-2&1&0\\3&-2&2\end{array}\right] \\\\=-7(2-0) -4(-4-0) -2(4-3)\\=-7(2) -4(-4) -2(1) \\= 0$

Thus, the three points  A(-7,4,-2), B(-2,1,0) and C(3,-2,2) are collinear.

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