JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than once.) Column I: (i) equals (ii) If and then equals (iii) If and then equals (iv) If are orthogonal unit vectors then equals Column II: (a) (b) (c) (d)

Answer: (2)

Solution

**(i)** Any vector satisfies . Take ; then , and so on. The sum is → **(b)**. - **(ii)** Expanding both sides: \vec\vec\vec$

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Question ID VK-110287