MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: Select Grade
        
the resultant of vector P and vector Q is vector R if Q is doubled R is doubled when Q reversed R is again doubled  find P:Q:R with all steps
10 months ago

Answers : (1)

Arun
14744 Points
							Dear student
R^2 = P^2 + Q^2 + 2PQ cosθ ... ( 1 )
4R^2 = P^2 + 4Q^2 + 4PQ cosθ ... ( 2 )
4R^2 = P^2 + Q^2 - 2PQ cosθ ... ( 3 )
Multiplying eqn. ( 1 ) by 2 and subtracting from eqn. ( 2 ),
2R^2 = 2Q^2 - P^2 ... ( 4 )
Adding eqns. ( 1 ) and ( 3 ),
5R^2 = 2Q^2 + 2P^2 ... ( 5 )
Subtracting eqn. ( 4 ) from eqn. ( 5 ),
3R^2 = 3P^2 => P^2 = R^2
Plugging R^2 = P^2 in eqn. ( 4 ),
2P^2 = 2Q^2 - P^2
=> Q^2 = (3/2)P^2
=> P^2 : Q^2 : R^2 = P^2 : (3/2)P^2 : P^2
=> P : Q : R = √2 : √3 : √2.
Regards
Arun (askIITians forum expert)
9 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 1,590 off

COUPON CODE: SELF10


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 1,590 off

COUPON CODE: SELF10

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details