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Let hat(u), hat(v) and hat(w) are three ...

Let `hat(u), hat(v) and hat(w)` are three unit vectors, the angle between `hat(u) and hat(v)` is twice that of the angle between `hat(u) and hat(w) and hat(v) and hat(w)`, then `[hat(u) hat(v) hat(w)]` is equal to

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If hat(a) and hat(b) are unit vectors such that (hat(a) + hat(b)) is a unit vector, what is the angle between hat(a) and hat(b) ?

Let hat(a), hat(b) and hat(c) be the non-coplanar unit vectors. The angle between hat(b) and hat(c) be alpha and angled between hat(c) and hat(a) be beta and between hat(a) and hat(b) be gamma . If A(hat(a)cosalpha, 0) , B(hat(b)cosbeta, 0) and C(hat(c)cosgamma, 0) , then show that in triangleABC . (|hat(a)times(hat(b)timeshat(c))|)/(sinA)=(|hat(b)times(hat(c)timeshat(a))|)/(sinB)=(|hat(c)times(hat(a)timeshat(b))|)/(sinC)

Knowledge Check

  • If hat(e_1), hat(e_2) and hat(e_1)+hat(e_2) are unit vectors, then angle between hat(e_1) and hat(e_2) is

    A
    `90^(@)`
    B
    `120^(@)`
    C
    `450^(@)`
    D
    `135^(@)`

  • The angle between A=hat(i)+hat(j) " and " B=hat(i)-hat(j) is

    A
    `45^(@)`
    B
    `90^(@)`
    C
    `-45^(@)`
    D
    `180^(@)`

  • Find the angle between the Vector hat(i)+hat(j) and hat(i)-hat(j) .

    A
    `30^(@)`
    B
    `60^(@)`
    C
    `120^(@)`
    D
    `90^(@)`

    • Similar Questions

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    Find the angle between hat(i)+hat(j)+hat(k) and hat(i)+hat(j)-hat(k) .

    Find the angle between the vectors hat(i)-hat(j) and hat(j)-hat(k) .

    Angle between hat(i)-hat(j) and hat(j)-hat(k) is ____________.

    The angle between the vectors hat(i)-hat(j) and hat(j)+hat(k) is :

    If theta is the angle between two unit vectors hat(a) and hat(b) then (1)/(2)|hat(a)-hat(b)|=?

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