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What is the angle between vecA and the ...

What is the angle between `vecA` and the resultant of `(vecA + hatB) and (vecA-hat B) `?

A

`0^(@)`

B

`tan^(-1)((A)/(B))`

C

`tan^(-1)((B)/(A))`

D

`tan^(-1)((A-B)/(A+B))`

Text Solution

Verified by Experts

The correct Answer is:
1
`vecR = (vecA+hatB) + (vecA-hatB) rArr vecR= 2vecA`
Thus `vecR and vecA` are in same direction.
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Knowledge Check

  • What is the angle between vecA and the rsultant of (vecA_hatB) and (vecA-hatB) ?

    A
    `0^(@)`
    B
    `tan^(-1)((A)/(B))`
    C
    `tan ^(-1)((B)/(A))`
    D
    `tan ^(-1)((A-B)/(A+B))`

  • What is the angle between veca and the resultant of veca+vecb and veca-vecb ?

    A
    0
    B
    `"tan"^(-1)(a)/(b)`
    C
    `"tan"^(-1)(b)/(a)`
    D
    `"tan"^(-1)((a-b))/((a+b))`

  • The angle between (vecA xx vec B) and (vecB xx vecA ) is :

    A
    zero
    B
    `pi`
    C
    `pi//4`
    D
    `2pi//3`

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