two vectors 2p and p are inclined to each other at a certain angle. If the first vector is doubled, then the resultant vector is increased three times. Calculate the angle between the two vectors."
Answers
Answered by
15
Answer:
the angle between the two vectors = 180°
Step-by-step explanation:
two vectors 2p and p are inclined to each other at a certain angle
Let say these vectors are inclined at an angle of α
Resultant Vector R = √(2p)² + p² + 2(2p)pCosα
=> R² = 5p² + 4p²Cosα
the first vector is doubled, then the resultant vector is increased three times
2p is doubled => 4p
3R = √(4p)² + p² + 2(4p)pCosα
=> 9R² = 17p² + 8p²Cosα
=> 9(5p² + 4p²Cosα) = 17p² + 8p²Cosα
=> 45p² + 36p²Cosα = 17p² + 8p²Cosα
=> 28p²Cosα = -28p²
=> Cosα = - 1
=> α = 180°
the angle between the two vectors = 180°
Answered by
3
Answer:
hope this will help you mark me as brainlist and follow me
Attachments:
Similar questions