Question

for v1=2i-3j and v2=-6i+5j determine the magnitutde and direction of v1 +v2​

Answer 1

Answer:

Magnitude = 2√5

153.4° along with x axis

Step-by-step explanation:

v1= 2i-3j

v2= -6i+5j

v1 + v2  = 2i  - 3j  - 6i  + 5j

=> v1 + v2 =  -4i  + 2j

| v1 + v2|  = √((-4)² + 2²) = √16 + 4 = √20 = 2√5

Magnitude = 2√5

Direction  = Tan⁻¹(2/-4)  = Tan⁻¹(-1/2)

= 153.4° along with x axis