Home
Class 12
MATHS
Vectors 3veca-5vecb and 2veca + vecb are...

Vectors `3veca-5vecb and 2veca + vecb` are mutually perpendicular. If `veca + 4 vecb and vecb - veca` are also mutually perpendicular, then the cosine of the angle between `veca nad vecb` is

A

`cos^(-1)((19)/(5sqrt(43)))`

B

`pi-cos^(-1)((19)/(5sqrt(43)))`

C

`cos^(-1)((9)/(5sqrt(43)))`

D

`pi-cos^(-1)((9)/(5sqrt(43)))`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTA JEE MOCK TEST 28

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 30

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If (veca + 3 vecb) is perpendicular to ( 7 veca - 5 vecb) and ( veca - 4 vecb) is perpendicular to ( 7 veca - 2 vecb) , then the angle between veca and vecb ( in degrees ) is ______

If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4vecb are perpendicular to each other, then the angle between veca and vecb is

Knowledge Check

  • If the vectors veca and vecb are mutually perpendicular, then veca xx {veca xx {veca xx {veca xx vecb}} is equal to:

    A
    `|veca|^(2)vecb`
    B
    `|veca|^(3)vecb`
    C
    `|veca|^(4)vecb`
    D
    None of these

  • If veca , vecb are unit vectors such that the vector veca + 3vecb is peependicular to 7 veca - vecb and veca -4vecb is prependicular to 7 veca -2vecb then the angle between veca and vecb is

    A
    ` pi//6`
    B
    ` pi//4`
    C
    ` pi//3`
    D
    ` pi//2`

  • If |veca.vecb|= |veca xx vecb| , then the angle between veca and vecb is

    A
    ` 0^(@)`
    B
    ` 180^(@)`
    C
    ` 150^(@)`
    D
    `45^(@)`

    • Similar Questions

    Explore conceptually related problems

    If veca and vecb are two vectors such that |veca xx vecb|= veca.vecb , then what is the angle between veca and vecb ?

    Vectors vecA and vecB are mutually perpendicular . Component of vecA + vecB in the direction of vecA- vecB will be:

    The resultant of vecA and vecB is perpendicular to vecA . What is the angle between vecA and vecB ?

    If veca, vecb are unit vertors such that veca -vecb is also a unit vector, then the angle between veca and vecb , is

    If |veca - vecb|=|veca| =|vecb|=1 , then the angle between veca and vecb , is

    Home
    Profile