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Show that the points A(2,3,4),B(-1,-2,1) and C(5,8,7) are coll

Question

Show that the points $A (2, 3, 4), B (- 1, - 2, 1)$ and $C (5, 8, 7)$ are collinear.

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Show that the points

A (2, 3, 4), B (- 1, - 2, 1)

and

C (5, 8, 7)

are collinear.

5 mins ago

Discuss this question LIVE

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Text solutionVerified

D.r's of

A B

are

(3 + 2), (- 6 - 4), (- 8 - 7)

ie.,

5, - 10, - 15

ie.,

1, - 2, - 3

Dr's of

A C

are

(1 + 2), (- 2 - 4), (- 2 - 7)

ie.,

3, - 6, - 9

ie.,

1, - 2, - 3

A B ∥ A C

and both have a common end point

A

Hence

A, B, C

are collinear

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Question Text	Show that the points $A (2, 3, 4), B (- 1, - 2, 1)$ and $C (5, 8, 7)$ are collinear.
Answer Type	Text solution:1
Upvotes	150