Statement 1: Vector `vecc = -5hati + 7 hatj + 2hatk ` is along the bisector of angle between `veca = hati + 2hatj + 2hatk and vecb = 8 hati + hatj - 4hatk`. Statement 2 : `vecc` is equally inclined to `veca and vecb`.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 falseD. Statement 1 is false and Statement 2 is true.

Statement 1: Vector `vecc = -5hati + 7 hatj + 2hatk ` is along the bis

1.	Statement 1: Vector `vecc = -5hati + 7 hatj + 2hatk ` is along the bisector of angle between `veca = hati + 2hatj + 2hatk and vecb = 8 hati + hatj - 4hatk`. Statement 2 : `vecc` is equally inclined to `veca and vecb`.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 falseD. Statement 1 is false and Statement 2 is true.
Answer» Correct Answer - b A vector along the bisector is ` veca/(\|veca\|)+vecb/\|vecb\|= (-5hati+7hatj+2hatk)/9` Hence `vecc = -5hati + 7hatj +2hatk` is along the bisectior. It is obvious that `vecc` makes an equal with `veca and vecb` However, statement 2 does not explain statment 1, as a vector equally inclined to given two vectors is not necessarily coplanar.

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