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Find the direction cosines of the vector...

Find the direction cosines of the vector joining the points `A(1,2,-3)a n d B(-1,-2,1),` directed from `Aa n dBdot`

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To find the direction cosines of the vector joining the points A(1, 2, -3) and B(-1, -2, 1), we can follow these steps: ### Step 1: Determine the position vectors of points A and B The position vector of point A is given by: \[ \vec{A} = 1\hat{i} + 2\hat{j} - 3\hat{k} \] The position vector of point B is given by: ...
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Knowledge Check

  • The direction cosines of the line joining the points (1,2,-3) and (-2,3,1) are

    A
    `-3,1,4`
    B
    `-1,5,-2`
    C
    `(-3)/(sqrt(26)),(1)/(sqrt(26)),(4)/(sqrt(26))`
    D
    `(-1)/(sqrt(30)),(5)/(sqrt(30)),(-2)/(sqrt(30))`
  • The direction cosines of the line joining the points (4,3,-5) and (-2,1-8) are

    A
    `lt2,4,-13gt`
    B
    `lt6,2,3 gt`
    C
    `lt6//7,2//7,3//7gt`
    D
    None of these
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