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Find the unit vector in the direction of...

Find the unit vector in the direction of the sum of the vectors
`bar(a) = 2bar(i)+ 2bar(j) - 5bar(k) and bar(b) = 2bar(i) + bar(j) + 3bar(k)`.

Text Solution

Verified by Experts

The correct Answer is:
`1/(sqrt(29))(4bar(i)+3bar(j)-2bar(k))`
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Explore conceptually related problems

Find a unit vector perpendicular to the plane containing the vector bar(a) = 4bar(i) + 3bar(j) - bar(k), bar(b) = 2bar(i) - 6bar(j) - 3bar(k)

Find the vector area and the area of the paralleogram having bar(a) = bar(i) + 2bar(j) - bar(k) and bar(b) = 2bar(i) - bar(j) + 2bar(k) as adjacent sides.

Knowledge Check

  • If the vector bar(a)=2bar(i)+3bar(j)+6bar(k) and bar(b) are collinear and abs(bar(b))=21" then "bar(b)=

    A
    `pm(2bar(i)+3bar(j)+6bar(k))`
    B
    `pm3(2bar(i)+3bar(j)+6bar(k))`
    C
    `bar(i)+bar(j)+bar(k)`
    D
    `pm21(2bar(i)+3bar(j)+6bar(k))`

  • The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

    A
    are linearly dependent
    B
    are linearly independent
    C
    form sides of a triangle
    D
    are coplanar

    • Similar Questions

    Explore conceptually related problems

    Find unit vector in the direction of vector bar(a) = (2bar(i)+3bar(j)+bar(k))

    Find unit vector perpendicular to both bar(i) + bar(j) + bar(k) and 2bar(i) + bar(j) + 3bar(k) .

    Find the vector area and area of the parallelogram having bar(a) = bar(i) + 2bar(j) - bar(k), bar(b) = 2bar(i) -bar(j) + 2bar(k) as adjacent sides.

    Find the vector in the direction of vector bar(a)=2bar(i)+3bar(j)+bar(k)

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

    Find the vector area and area of the triangle with vertices bar(i) + bar(j)-bar(k), 2bar(i)- 3bar(j) + bar(k), 3 bar(i) + bar(j)- 2bar(k) .

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