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NEET Class neet Answered

pls explain this answer ..
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Asked by surabhilakhara7299 | 21 Jan, 2022, 12:52: AM
answered-by-expert Expert Answer
Let us consider the two given vectors begin mathsize 14px style A with rightwards arrow on top end style and begin mathsize 14px style B with rightwards arrow on top end style are sides of parallelogram OPRQ so that diagonal OR is ( begin mathsize 14px style A with rightwards arrow on top end style + begin mathsize 14px style B with rightwards arrow on top end style ) as shown in figure .
Let us form another parallelogram OP'R'Q' so that begin mathsize 14px style A with rightwards arrow on top end style and ( - begin mathsize 14px style B with rightwards arrow on top end style )  are sides of parallelogram OP'R'Q' .
Hence diagonal OR' represents ( begin mathsize 14px style A with rightwards arrow on top end style - begin mathsize 14px style B with rightwards arrow on top end style ) as shown in figure .
It is to be noted here both the parallelograms are congruent.
 
If we are given that | begin mathsize 14px style A with rightwards arrow on top end style + begin mathsize 14px style B with rightwards arrow on top end style | = | begin mathsize 14px style A with rightwards arrow on top end style - begin mathsize 14px style B with rightwards arrow on top end style | , then Bothe diagonals af parallelogram are equal.
In a parallelogram, if diagonals are equal then this parallelogram is Rectangle .
 
Hence angle between begin mathsize 14px style A with rightwards arrow on top end style and begin mathsize 14px style B with rightwards arrow on top end style is 90o
Answered by Thiyagarajan K | 21 Jan, 2022, 08:23: AM
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