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What is the angle between vec(a) and vec...

What is the angle between `vec(a)` and `vec(b)` :
(i) Magnitude of `vec(a)` and `vec(b)` are `3` and `4` respectively.
(ii) Area of triangle made by `vec(a)` and `vec(b)` is 10.

A

Question can be solved by information I only.

B

Question can be solved by information II only

C

Question can be solved by information I and II in combined form only.

D

Question can not be solved by both the informations only.

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If vec(A)=vec(B)+vec(C) and the magnitude of vec(A), vec(B) and vec(C) are 5, 4, and 3 units respectively the angle between vec(A) and vec(B) is :

    A
    `cos^(-1)((3)/(5))`
    B
    `cos^(-1)((4)/(5))`
    C
    `((pi)/(2))`
    D
    `sin^(-1)((4)/(5))`

  • The magnitudes of vectors vec(A),vec(B) and vec(C) are 3,4 and 5 unit respectively. If vec(A)+vec(B)=vec(C), the angle between vec(A) and vec(B) is

    A
    `(pi)/(2)`
    B
    `cos^(-1)(0.6)`
    C
    `tan^(-1)((7)/(5))`
    D
    `(pi)/(4)`

  • What is the angle between A and the resultant of (vec A + vec B) and (vec A -vec B) ?

    A
    `tan^(-1)((A)/(B))`
    B
    `tan^(-1)((B)/(A))`
    C
    `tan^(-1)((A+B)/(A-B))`
    D
    zero

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