Question

In the figure shown, if a = b = 10 units. Then,
a) The magnitude of resultant of vectors a and us 10 units
b) The magnitude of resultant of vectors and 5 is 10/3 N
c) The resultant of vectors a and ī makes an angles 60' with b
d) The resultant of vectors a and ſ makes an angle 30° with b ​

Answer 1

60' with b write than this is a answer

Answer 2

Given:

Magnitude of vector a = 10 units

Magnitude of vector b = 10 units

To Find: Magnitude of resultant vector

Calculation:

Resultant of two vectors is given by:

R = $\sqrt{a^{2} +b^{2} +2abcos\alpha }$

R = $\sqrt{10^{2} +10^{2} +2*10*10*cos(120)}$

R = $\sqrt{100+100+2*100*(-0.5)} = \sqrt{200-100} =\sqrt{100} =10$ N

Answer:

Resultant of the two vectors is 10 Newtons.

Your question is improper. The options are not right. Perhaps you are referring to the options given below:

"In the figure shown, if a = b = 10 units. Then,  the magnitude of resultant of vectors a and b is

(a) 10$\sqrt{2}$ N

(b) 10 N

(c) 5$\sqrt{3}$ N

(d) None of these"