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Ifvec(a)=(ax(hat(i)))+(ay(hat(j)))+(az (...

If`vec(a)=(a_x(hat(i)))+(a_y(hat(j)))+(a_z (hat(k)))` and `vec(b)=(b_x(hat(i)))+(b_y(hat(j)))+(b_z (hat(k)))`,obtain `vec(a)X vec(b)` in terms of rectangular components.

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Step by step text solution for Ifvec(a)=(a_x(hat(i)))+(a_y(hat(j)))+(a_z (hat(k))) and vec(b)=(b_x(hat(i)))+(b_y(hat(j)))+(b_z (hat(k))),obtain vec(a)X vec(b) in terms of rectangular components. by PHYSICS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • If vec(a)=(hat(i)+hat(j)+hat(k)),vec(a)*vec(b)=1 and vec(a)xxvec(b)=hat(j)-hat(k) , then vec(b) is

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

  • Let vec(a)=hat(i)-hat(k),vec(b)=xhat(i)+hat(j)+(1-x)hat(k) , and vec(c)=yhat(i)+xhat(j)+(1+x-y)hat(k) . Then [vec(a)vec(b)vec(c)] depends on

    A
    only y
    B
    only `x`
    C
    both `x` and y
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  • If vec(a) and vec(b)= 3hat(i) + 6hat(j) + 6hat(k) are collinear and vec(a).vec(b)=27 , then vec(a) is equal to

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

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