The two vectors A and B are drawn from a common point and C = A + B , then angle between A and B is - (1) 90^ if C ²= A ²+ B ² (2) greater than 90^ if C ² A ²+ B ² (4) less than 90^ if C ² A ²+ B ² Co

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The two vectors A and B are drawn from a common point and C = A + B , then angle between A and B is - (1) 90^ if C ²= A ²+ B ² (2) greater than 90^ if C ²< A ²+ B ² (3) greater than 90^ if C ²> A ²+ B ² (4) less than 90^ if C ²> A ²+ B ² Correct options are -

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Correct answer: D. 1,2,4

We are given: ( C = A + B ) Taking magnitude squared: (C^2=A^2+B^2+2 A B ) where ( ) is the angle between ( A ) and ( B ). Case Analysis: 1. If (C^2=A^2+B^2 ) : (2 A B =0 =0 =90^ ) ( ) Statement (1) is correct. 2. If (C^2 90^ ) ( ) Statement (2) is correct. 3. If (C^2 > A^2+B^2 ) : (2 A B > 0 > 0 < 90^ ) So angle is less than (90^ ), not greater. X Statement (3) is incorrect. ( ) Statement (4) is correct.

The two vectors A and B are drawn from a common point and C = A + B , then angle between A and B is - (1) 90^ if C ²= A ²+ B ² (2) greater than 90^ if C ²< A ²+ B ² (3) greater than 90^ if C ²> A ²+ B ² (4) less than 90^ if C ²> A ²+ B ² Correct options are -

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