Question

Two vectors of 10 units & 5 units make an angle
of 120 with each other. Find the magnitude and
angle of resultant with vector of 10 unit
magnitude​

Answer 1

Answer:

please refer to the attachment

Answer 2

Answer:

• |r| = 5√3 units is magnitude of resultant .
• θ = tan^-1 (-1/3) is angle of resultant with vector.

Step -step explanation:

Let,

• θ is the mind-set the various 2 vectors A and B
• R is the ensuing vector
• Φ is the mind-set long-established thru the ensuing vector on identifying flow fabricated from A and B

Therefore,

$Φ = tan-1(Bsinθ/A+Bcosθ)$

The fee of the resultant vector, R, is given through:

$R = √(A2+B2)$

Given :

|a| = 10 units

|b| = five units

|r|² = |a|² + |b|² + 2a.bcos120°

= 25 + 100 -2 × 50 × ½

= √75

|r| = five√three units = 5√3 units

importance of resultant .

tan θ = |a|cosθ /|b| + |a|cosθ

= -5/2 / 10-5/2

= -5/2 / 15/2

= -1/3

θ = tan^-1 (-1/3)

θ = tan^-1 (-1/3)perspective of resultant with vector.

(#SPJ2)