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Find the vector equation of the line pas...

Find the vector equation of the line passing through the point `2bar(i)+3bar(j)+bar(k)` and parallel to the vector `4bar(i)-2bar(j)+3bar(k)`

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The correct Answer is:
Where t is a scalar and t `in R `
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Explore conceptually related problems

Find the vectore equation of the line passing through the point 2bar(i)+bar(j)+3bar(k) parallel to vector 4bar(i)-2bar(j)+3bar(k) .

Find the equation of the line passing through the point 2bar(i)+3bar(j)-4bar(k) and parallel to the vector 6bar(i)+3bar(j)-2bar(k) in cartesian form.

Knowledge Check

  • Find the vector equation of the plane passing through the point bar(i)+bar(j)+bar(k) and parallel to the vectors 2bar(i)+3bar(j)+4bar(k), bar(i)-2bar(j)+3bar(k) .

    A
    r=(i+j+k)+s(2i+3j+4k)+t(i-2j+3k)
    B
    r=(i+j+k)+s(2i-3j+4k)+t(i-2j+3k)
    C
    r=(i+j+k)+s(2i+3j+4k)+t(i +2j+3k)
    D
    r=(i+j+k)+s(2i+3j+4k)+t(i-2j-3k)

  • The vector equation of the plane passing through the point 2bar(i)+2bar(j)-3bar(k) and parallel to the vectors 3bar(i)+3bar(j)-5bar(k), bar(i)+2bar(j)+bar(k) is

    A
    `bar(r)=t(2bar(i)+bar(j)-bar(k))+s(bar(i)+2bar(j)+2bar(k))`
    B
    `bar(r)=(2bar(i)+2bar(j)-3bar(k))+t(3bar(i)+3bar(j)-5bar(k))+s(bar(i)+2bar(j)+bar(k))`
    C
    `bar(r)=(bar(i)+2bar(j)+3bar(k))+t(-2bar(i)+3bar(j)+bar(k))+s(2bar(i)-3bar(j)+4bar(k))`
    D
    `bar(r)=sbar(i)+t(-2bar(i)+3bar(j)+bar(k))+p(bar(i)+bar(j))`

  • The vector equation of the line passing through the point 2bar(i)+bar(j)-3bar(k) and parallel to bar(i)+2bar(j)+bar(k) is

    A
    `bar(r)=(2+t)bar(i)+(1+2t)bar(j)+(t-3)bar(k)`
    B
    `bar(r)=(2-t)bar(i)+(1+2t)bar(j)+(t+3)bar(k)`
    C
    `bar(r)=(2+t)bar(i)-(1+2t)bar(j)+(t-3)bar(k)`
    D
    `bar(r)=2bar(i)-(1-2t)bar(j)+(t+4)bar(k)`

    • Similar Questions

    Explore conceptually related problems

    Find the vector equation of the line passing through the points bar(i)+bar(j)+bar(k) and bar(i)-bar(j)+bar(k) .

    Find the vector equation of the plane passing through the points 2bar(i)+bar(j)-bar(k), bar(i)-bar(j)+2bar(k) and parallel to bar(i)-2bar(j)-2bar(k)

    Find the vector equation of the line passing through the points 2 bar(i)+bar(j)+3bar(k) and -4bar(i)+3bar(j)-bar(k) .

    Find the vector equation of the line passing through the points 2bar(i)+3bar(j)+4bar(k), 3bar(i)-2bar(j)+2bar(k) .

    Find the vector equation of the line passing through the points -2bar(i)+3bar(j)+5bar(k), bar(i)+2bar(j)+3bar(k) .

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