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The maximum and minimum magnitudes of th...

The maximum and minimum magnitudes of the resultant of two vectors are 23 units and 7 units respectively. If these two vectors are acting at right angles to each other, the magnitude of their resultant will be

Text Solution

Verified by Experts

The correct Answer is:
17

`P+Q = 23, P-Q = 7`
`:. 2P = 30 implies P=15`
`:. Q = 23 -15=8`
If ` vecP bot vecQ, R =sqrt(P^(2) + Q^(2)) = sqrt(225 + 64)=17`
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