Question

if the maximum magnitude of resultant of three vectors of magnitude 2,6 and 10 is A and minimum magnitude of their resultant is B (vectors can be oriented anywhere) then find value of A-B​

Answer 1

Answer:

Step 1: Equation for resultant of two vectors

Let θ be the angle between the vectors

A

and

B

The resultant of two vectors is given by

R=

A

2

+B

2

+2ABcosθ

For R

max

,θ=0

∘

⇒∣

R

max

∣=∣

A

∣+∣

B

∣

⇒17=∣

A

∣+∣

B

∣ ....(1)

For R

min

,θ=180

∘

⇒∣

R

min

∣=∣

A

∣−∣

B

∣

⇒7=∣

A

∣−∣

B

∣ ....(2)