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Statement1: A component of vector vecb =...

Statement1: A component of vector `vecb = 4hati + 2hatj + 3hatk` in the direction perpendicular to the direction of vector `veca = hati + hatj +hatk is hati - hatj`
Statement 2: A component of vector in the direction of `veca = hati + hatj + hatk is 2hati + 2hatj + 2hatk`

A

Both the statements are true and statement 2 is the correct explanation for statement 1.

B

Both statements are true but statement 2 is not the correct explanation for statement 1.

C

Statement 1 is true and Statement 2 is false

D

Statement 1 is false and Statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
c
Component of vector `vecb = 4hati + 2hatj +3hatk ` in the direction of `veca=hati +hatj +hatk is (veca.vecb)/ (|veca|) veca/ (|veca|) or 3hati + 3hatj + 3hatk `. Then componant in the direaction perpendicular to the direction of `veca =hati+hatj + hatk "is " vecb -3hati + 3hatj +3hatk= hati -hatj`
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