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`

Options

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.

Answer

c

Explanation

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`