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What is the vector equation of the strai...

What is the vector equation of the straight lines through the point `hati-2hatj+hatk and 2hati +k`?

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Similar Questions

Explore conceptually related problems

Find the vector equation of the plane passing through the point hati + hatj -2hatk and hati + 2hatj + hatk, 2hati - hatj + hatk.

What is the vector equation of line through the points with position vectors hati+hatj+2hatk and 2hati+hatk .

Knowledge Check

  • The vector equation of the plane passing through the points hati+hatj-2hatk,2hati-hatj+hatk and hati+hatj+hatk , is

    A
    `vecr.(9hati+3hatj-hatk)=-14`
    B
    `vecr.(9hati+3hatj-hatk)=14`
    C
    `vecr.(3hati+9hatj-hatk)=14`
    D
    none of these

  • The vector equation of a line passing through the point hati + 2hatj + 3hatk and perpendicular to the vectors hati +hatj + hatk and 2hati - hatj + hatk is

    A
    `(hati + 2hatj + 3hatk) + lambda(-2hati - hatj + 3hatk)`
    B
    `(hati + 2hatj + 3hatk) + lambda(2hati + hatj - hatk)`
    C
    `(hati + 2hatj + 3hatk) +lambda(2hati + hatj - hatk)`
    D
    `(hati + 2hatj + 3hatk) + lambda(2hati - hatj - 2hatk)`

  • The vector equation of the line passing through a point with position vector 2hati-hatj+hatk and parallel to the line joining the points with position vectors -hati+4hatj+hatk and hati+2hatj+2hatk is r=(2hati-hatj+hatk)+lambda(xhati-2hatj+hatk) where x is equal to

    A
    0
    B
    1
    C
    2
    D
    4

    • Similar Questions

    Explore conceptually related problems

    Find the vector equation of a line passes through the point hati+3hatj+hatk and parallel to vector 3hati-2hatj+k .

    Find the vector equation of the line passing through the point 2 hati + hatj - 3 hatk and perpendicular to the vectors hati + hatj + hatk and hati + 2 hatj - hatk .

    Find the vector equation of the plane passing through the point (3hati+4hatj+2hatk) and parallel to the vectors (hati+2hatj+3hatk) and (hati-hatj+hatk) .

    Find the vector equation of the line passing through the point with position vector 2 hati - hatj + hatk and parallel to the line joining the points with position vectors - hati + 4hatj + hatk and hati + 2 hatj + 2 hatk . Also, find the cartesian equation of the line.

    The vector equation of a plane passing through three points hati+hatj-2hatk, 2hati-hatj+hatk" and " hati+2hatj+hatk is

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