Two vectors P and Q have magnitudes 3 units and 4 units respectively.

1.	Two vectors P and Q have magnitudes 3 units and 4 units respectively. Ř is theresultant of P and Q. Find the magnitude and direction of Ř when the angle thetabetween P and Q is 30°.
Answer» ANSWER: R = _/P^2 +Q^2 + 2PQ [email protected] R= _/3^2 + 4^2 + 2 (4)(3) COS 30° R= _/9 + 16 + 24 COS 30° R= _/25 + 24 (_/3 / 2) R = _/ 25 + 12_/3 R= _/25 + _/ 12 _/(_/3) R= 9.55 R= 10(approx.) NOW , TAN beeta = Q SIN @ / P + Q [email protected] = 4 SIN 30 / 3 + 4 COS 30 = 4 (1/2) / 3+ 4 (_/3 / 2) = 2./ 3 + 2_/3 = 2 / (3_/3 +2)/_/3 = 2 / ( 9 +2 _/3) therefore ,beeta = TAN^-1 [ 2/ (9+ 2_/3) ] you can solve it further if you want just rationalize 9 + 2_/3 pls mark it as brainlist

Two vectors P and Q have magnitudes 3 units and 4 units respectively. Ř is theresultant of P and Q. Find the magnitude and direction of Ř when the angle thetabetween P and Q is 30°.

Answer»

ANSWER:

R = _/P^2 +Q^2 + 2PQ [email protected]

R= _/3^2 + 4^2 + 2 (4)(3) COS 30°

R= _/9 + 16 + 24 COS 30°

R= _/25 + 24 (_/3 / 2)

R = _/ 25 + 12_/3

R= _/25 + _/ 12 _/(_/3)

R= 9.55

R= 10(approx.)

NOW ,

TAN beeta = Q SIN @ / P + Q [email protected]

= 4 SIN 30 / 3 + 4 COS 30

= 4 (1/2) / 3+ 4 (_/3 / 2)

= 2./ 3 + 2_/3

= 2 / (3_/3 +2)/_/3

= 2 / ( 9 +2 _/3)

therefore ,beeta = TAN^-1 [ 2/ (9+ 2_/3) ]

you can solve it further if you want

just rationalize 9 + 2_/3

pls mark it as brainlist

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Two vectors P and Q have magnitudes 3 units and 4 units respectively. Ř is theresultant of P and Q. Find the magnitude and direction of Ř when the angle thetabetween P and Q is 30°.​

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Two vectors P and Q have magnitudes 3 units and 4 units respectively. Ř is theresultant of P and Q. Find the magnitude and direction of Ř when the angle thetabetween P and Q is 30°.