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If bar(a) = bar(i) + bar(j)+bar(k), bar(...

If `bar(a) = bar(i) + bar(j)+bar(k), bar(b) = 2bar(i) + 3bar(j) + bar(k)` then find the projection vector of `bar(b)` on `bar(a)` and its magnitude.

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Knowledge Check

  • If bar(a)=bar(i)+2bar(j)+2bar(k) and bar(b)=3bar(i)+6bar(j)+2bar(k) then the vector in the direction of bar(a) and having magnitude as abs(bar(b)) is

    A
    `1/3(bar(i)+2bar(j)+2bar(k))`
    B
    `7/3(bar(i)+2bar(j)+2bar(k))`
    C
    `5/3(bar(i)+2bar(j)+2bar(k))`
    D
    `2/3(bar(i)+2bar(j)+2bar(k))`

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