Home
Class 11
PHYSICS
If A=B+C have scalar magnitudes of 5,4,3...

If A=B+C have scalar magnitudes of 5,4,3 units respectively , then find the angle between A and C.

Text Solution

AI Generated Solution

To solve the problem of finding the angle between vectors A and C given that \( A = B + C \) with magnitudes \( |A| = 5 \) units, \( |B| = 4 \) units, and \( |C| = 3 \) units, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the relationship between the vectors**: We know that \( A = B + C \). This can be rewritten in terms of magnitudes as: \[ |A|^2 = |B|^2 + |C|^2 + 2|B||C|\cos\theta ...
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    DC PANDEY ENGLISH|Exercise Exercise|13 Videos
  • CALORIMETRY & HEAT TRANSFER

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|14 Videos

Similar Questions

Explore conceptually related problems

If A = B + C and the magnitudes of A, B and C are 5, 4 and 3 units, the angle between A and C is

The magnitude of vectors A, B and C are 3, 4 and 5 units respectively. If A+ B =C , the angle between A and B is

Two vectors A and B have magnitudes 6 units and 8 units respectively. Find |A-B|, if the angle between two vectors is .(a) 0^(@) (b) 180^(@) (c) 180^(@) (d) 120^(@) .

Two vectors A and B have magnitudes 2 units and 4 units respectively. Find A. B is angle between these two vectors is (a) 0^(@) (b) 60^(@) (c) 90^(@) (d) 120^(@) .

The magnitudes of vectors vecA,vecB and vecC are 3,4 and 5 units respectively. If vecA+vecB= vecC , the angle between vecA and vecB is

If the coordinates of the points A, B, C, D be (1, 2, 3) , (4, 5, 7) , ( 4, 3, 6) and (2, 9, 2) respectively, then find the angle between the lines AB and CD.

If the coordinates of the points A,B,C,D be (1,2,3),(4,5,7),(4,-3,6) and (2,9,2) respectively then find the angle between AB and CD.

Two vectors have magnitudes 3 unit and 4 unit respectively. What should be the angel between them if the magnitude of the resultant ils a. 1 unit, b. 5 unit and c. 7 unit.

Two vectors have magnitudes 3 unit and 4 unit respectively. What should be the angel between them if the magnitude of the resultant is (a). 1 unit (b). 5 unit and (c). 7 unit.

Three vectors vecA,vecB and vecC are such that vecA=vecB+vecC and their magnitudes are in ratio 5:4:3 respectively. Find angle between vector vecA and vecC