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Find the angle between the vectors vec(i...

Find the angle between the vectors `vec(i) + 2vec(j) + 3vec(k)` and `3vec(i) - vec(j) + 2vec(k)`.

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Find the angle between the vectors vec(i)+2vec(j)+3vec(k) and 3vec(i)-hatj+2vec(k) .

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Knowledge Check

  • Any vector which is perpendicular to each of the vectors 2vec(i) + vec(j) -vec(k) and 3vec(i) -vec(j) + vec(k) is normal to

    A
    X-axis
    B
    Y-axis
    C
    Z-axis
    D
    all the above

  • The vector area of the parallelogram whose adjacent sides vec(i) + vec(j) + vec(k) and 2vec(i)-vec(j) + 2vec(k) is

    A
    `3(vec(i) +vec(k))`
    B
    `3(vec(i) -vec(k))`
    C
    `2vec(i) + vec(j)-2vec(k)`
    D
    `-2vec(i)-vec(j)-2vec(k)`

  • The vector area of the triangle formed by the points vec(i) -vec(j) + vec(k), 2vec(i) + vec(j) -2vec(k) and 3vec(i) + vec(j) + 2vec(k) is

    A
    `4 vec(i) -(7)/(2) vec(j)- vec(k)`
    B
    `4vec(i) + (7)/(2) vec(j) + vec(k)`
    C
    `4vec(i)-7vec(j) + 2vec(k)`
    D
    `vec(i) -vec(j) + vec(k)`

    • Similar Questions

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    A vector vec( c) perpendicular to the vectors 2vec(i) + 3vec(j)-vec(k) and vec(i)-2vec(j)+3vec(k) satisfying vec(c ).(2vec(i)-vec(j) +vec(k))=-6 is

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