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If a line passing through two points (-2...

If a line passing through two points (-2,4,-5) and (1,2,3) then its direction cosines will be :

A

`lt3,-2,5gt`

B

`lt(-2)/(sqrt(77)),(3)/(sqrt(77)),(8)/(sqrt(77))gt`

C

`lt(3)/(sqrt(77)),(-2)/(sqrt(77)),(8)/(sqrt(77))gt`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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If a line passes through two points (-2,4,-5) and (1,2,3), then its direction cosines will be:

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Knowledge Check

  • If a line passing through the two points (-2,4,-5) and (1,2,3) then its direction cosine will be

    A
    `((3)/(sqrt(77)),(-2)/(sqrt(77)),(8)/(sqrt(77)))`
    B
    `((-2)/(sqrt(77)),(3)/(sqrt(77)),(8)/(sqrt(77)))`
    C
    `((3)/(sqrt(77)),(+2)/(sqrt(77)),(8)/(sqrt(77)))`
    D
    `(-(1)/(sqrt(2)),0,(1)/(sqrt(2)))`

  • If a line passing through the two points (-2,4,-5) and (1,2,3) then its direction cosine will be

    A
    `((3)/(sqrt(77)),(-2)/(sqrt(77)),(8)/(sqrt(77)))`
    B
    `((-2)/(sqrt(77)),(3)/(sqrt(77)),(8)/(sqrt(77)))`
    C
    `((3)/(sqrt(77)),(+2)/(sqrt(77)),(8)/(sqrt(77)))`
    D
    `(-(1)/(sqrt(2)),0,(1)/(sqrt(2)))`

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