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Statement 1: A component of vector v...

Statement 1: A component of vector ` vec b=4 hat i+2 hat j+3 hat k` in the direction perpendicular totehdirectin of vector ` vec a= hat i+ hat j+ hat ki s hat i- hat jdot` Statement 2: A component of vector in the direction of ` vec a= hat i+ hat j+ hat ki s2 hat i+2 hat j+2 hat kdot`

A

Both Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I

B

Both Statement-I and Statement-II are correct but Statement-II is not the correct explanation of Statement-I

C

Statement-I is correct but Statement-II is incorrect

D

Statement-II is correct but Statement-I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
C
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Statement 1: A component of vector vec b=4hat i+2hat j+3hat k in the direction perpendicular to the direction of vector vec a=hat i+hat j+hat kishat i-hat j .Statement 2:A component of vector in the direction of vec a=hat i+hat j+hat k is 2hat i+2hat j+2hat k

Find the component of a vector vec A = 3 hat I + 4 hat j along the direction of 2hat I -3 hat j .

Knowledge Check

  • The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

    A
    `(4hati-hatj-5hatk)/(sqrt(42))`
    B
    `(4hati-hatj+5hatk)/(sqrt(42))`
    C
    `(4hati+hatj+5hatk)/(sqrt(42))`
    D
    `(4hati+hatj-5hatk)/(sqrt(42))`

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