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vec(a) = 2hat(i) - hat(j) + hat(k), vec(...

`vec(a) = 2hat(i) - hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) - 5hat(k)`. Find the vector `vec(c )` such that `vec(a), vec(b) and vec(c)` form the sides of a triangle.

Text Solution

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The correct Answer is:
`barc= -3bari+2barj+4bark`.
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vec(a)=2vec(i)-vec(j)-vec(j)+vec(k),vec(b)=vec(i)-3vec(j)-5vec(k) . Find the vector C such that vec(a),vec(b) and vec(c) form the sides of a triangle.

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Knowledge Check

  • If vec(F) = hat(i) + 2hat(j) + hat(k) and vec(V) = 4hat(i) - hat(j) + 7hat(k) find vec(F).vec(V)

    A
    6W
    B
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    C
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    D
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  • If vec(F)= hat(i) + 2hat(j) + hat(k) and vec(V)= 4hat(i)- hat(j) + 7hat(k) find vec(F).vec(V)

    A
    6W
    B
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    C
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    D
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  • If vec(F) = hat(i) + 2hat(j) + hat(k) and vec(V) = 4hat(i) + hat(j) + 2hat(k) . Component of vec(B) along vec(A) is

    A
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    B
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    C
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    D
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    Explore conceptually related problems

    If vec(F) = 3hat(i) + 4hat(j) + 5hat(k) and vec(S) = 6hat(i) + 2hat(j) + 5hat(k) , find the work done by the force.

    If vec(P)= 2hat(i) + 3hat(j)- 4hat(k) and vec(Q)= 5hat(i) + 2hat(j) + 4hat(k) . Find the angle between the two vectors.

    If vec(A)= 5 hat(i) - 2hat(j) + 3hat(k) and vec(B)= 2hat(i) + hat(j) + 2hat(k) , component of vec(B) along vec(A) is

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    If vec(A) = 3hat(i) - 4hat(j) and vec(B) = -hat(i) - 4hat(j) , calculate the direction of vec(A) -vec(B) .

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