Question

For the figure, (a) A + B= C (b) B+C = A (c) C+A =B (d) A+B+C = 0
Diagram in attachment
With explanation please !!

Answer 1

Solution:

• From the given triangle we can write as,

                $OA= A, \\BA=B,\\AB=-B,\\BO=Cand OB=-C$

• By using the triangle law of vector addition we can write as,

                    $OA+AB=OB$

                    $A+(-B)=-C$

                     $A=B-C$

                     $C+A=B$

∴ Therefore the option is c

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Answer 2

Answer:  (c) C+A =B

Explanation:

• We know by triangle law of vector addition that if two vectors taken in same order then a vector taken in opposite order is the resultant of the sum of two vectors.
• Here we can see in the figure clearly that C and A are in same order and B is in opposite order then we can say that C+A=B.
• Hence, option (c) is correct.

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