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Assertion : The angle between the two ve...

Assertion : The angle between the two vectors
`(hati + hatj) and (hatj + hatk)` is `(pi)/(3)` radian.
Reason : Angle between two vectors `vecA and vecB` is given by `theta = cos^(-1)((vecA*vecB)/( AB))`

A

If both Assertion & Reason are Tune & the Reason is a correct explanation of the Assertion. `

B

If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.

C

If Assertion is True but the Reason is False.

D

If both Assertion & Reason are false.

Text Solution

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The correct Answer is:
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Knowledge Check

  • Statement-1 : The angle between the two vectors (hatI + hatJ) and (hatk) is pi/2 radian. Statement - 2 : Angle between two vectors vecA and vecB is given by theta = cos^(-1)((A.B)/(AB))

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
    C
    Statement-1 is True, Statement-2 is False
    D
    Statement-1 is False, Statement-2 is True
  • The angle between the two vectors vecA=5hati+5hatj and vecB=5hati-5hatj will be

    A
    zero
    B
    `45^(@)`
    C
    `90^(@)`
    D
    `180^(@)`
  • The angle between vecA = hati + hatj and vecB = hati - hatj is

    A
    `45^(@)`
    B
    `90^(@)`
    C
    `-45^(@)`
    D
    `180^(@)`
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    STATEMENT-1 : The vector hati bisects the angle between the vectors hati-2hatj-2hatk and hati+2hatj+2hatk . And STATEMENT-2 : The vector along the angle bisector of the vector veca and vecb is given by +-((veca)/(|veca|)+-(vecb)/(|vecb|)) where |veca|.|vecb|ne 0 Let vecu and vecv be unit vectors inclined at an angle theta such that for some vector vecw,vecw+vecwxxvecu=vecv