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The magnitude of projection of (2hat(i)-...

The magnitude of projection of `(2hat(i)-hat(j)+hat(k)) " on" (hat(i)-2hat(j)+2hat(k))` is _____

Text Solution

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The correct Answer is:
2 units
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Find the vector projection of the vector : 2hat(i)-hat(j)+hat(k) on hat(i)-2hat(j)+hat(k) .

Find the projection of (8hat(i)+hat(j)) in the direction of (hat(i)+2hat(j)-2hat(k))

Knowledge Check

  • What is the projection of vec(a)=(2hat(i)-hat(j)+hat(k)) on vec(b)=(hat(i)-2hat(j)+hat(k))?

    A
    `(2)/(sqrt(3))`
    B
    `(4)/(sqrt(5))`
    C
    `(5)/(sqrt(6))`
    D
    none of these

  • What is the projection of the vector hat(i)-2 hat(j) + hat(k) on the vector 4hat(i) - 4hat(j)+ 7hat(k) ?

    A
    `(sqrt5)/(2)`
    B
    `(19)/(9)`
    C
    `(sqrt5)/(4)`
    D
    `(11)/(3)`

  • What is the projection of the vector hat(i)-2hat(j)-hat(k) on the vector 4hat(i)-4hat(j)+7hat(k) ?

    A
    `(sqrt(5))/(2)`
    B
    `(19)/(9)`
    C
    `(sqrt(5))/(4)`
    D
    `(11)/(3)`

    • Similar Questions

    Explore conceptually related problems

    Find the projection of vec(a) = 2 hat(i) - hat(j) + hat(k) on vec(b) = hat(i) - 2 hat(j) + hat(k) .

    Find the vector projection of the vector : 7hat(i)+hat(j)-hat(k) on 2hat(i)+6hat(j)+3hat(k)

    The projection of hat i+3hat j+hat k on 2hat i-3hat j+6hat k is :

    Show that the lines vec(r) =(hat(i) +2hat(j) +hat(k)) +lambda (hat(i)-hat(j)+hat(k)) " and " vec(r ) =(hat(i) +hat(j) -hat(k)) + mu (hat(i)- hat(j) + 2hat(k)) Do not intersect .

    Projection of the vector 2hat(i) + 3hat(j) + 2hat(k) on the vector hat(i) - 2hat(j) + 3hat(k) is :

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