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If vec(a) = 2hat(i) - 3hat(j) + hat(k), ...

If `vec(a) = 2hat(i) - 3hat(j) + hat(k), vec(b) = -hat(i) + hat(k), vec(c ) = 2hat(j) - hat(k)` are three vectors, find the area of the parallelogram having diagonals `vec(a) + vec(b)` and `vec(b) + vec(c )`.

Answer

Step by step text solution for If vec(a) = 2hat(i) - 3hat(j) + hat(k), vec(b) = -hat(i) + hat(k), vec(c ) = 2hat(j) - hat(k) are three vectors, find the area of the parallelogram having diagonals vec(a) + vec(b) and vec(b) + vec(c ). by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • If vec a = 2i - 3j + k, vec b = -i + k, vec c = 2j-k then area of the parallelogram having diagonals vec a + vec b and vec b + vec c is

    A
    `sqrt21`
    B
    `1/2 sqrt21`
    C
    `sqrt23`
    D
    `1/2 sqrt23`

  • If vec(A)=2 hat(i) + 3 hat(j) - hat(k) and vec(B)= 4 hat(i) + 6 hat(j) -2 hat(k) the angle between vec(A) and vec(B) will be:

    A
    `pi`
    B
    `pi/3`
    C
    `pi/2`
    D
    `0^@`

  • If vec(a)=2hat(i)+lambda hat(j)+hat(k) and vec(b)=-hat(i)+2hat(j)-3hat(k) are orthogonal, then value of lambda is

    A
    0
    B
    1
    C
    `(3)/(2)`
    D
    `(5)/(2)`

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