Coordinates 59763

The vectors v = (2.7; -1.8), w = (-3; 2.5) are given. Find the coordinates of the vectors: a = v + w, b = v-w, c = w-v, d = 2 / 3v

Correct answer:

ax =  -0.3
ay =  0.7
bx =  5.7
by =  -4.3
cx =  -5.7
cy =  4.3
dx =  1.8
dy =  -1.2

Step-by-step explanation:

v=(2.7,−1.8)=(2.7,−1.8) w=(−3,2.5)=(−3,2.5)  a=v+w ax=ax​=vx​+wx​=2.7+(−3)=−0.3
ay=ay​=vy​+wy​=(−1.8)+2.5=0.7
b=v−w bx=bx​=vx​−wx​=2.7−(−3)=5.7
by=by​=vy​−wy​=(−1.8)−2.5=−4.3
c=w−v cx=cx​=wx​−vx​=(−3)−2.7=−5.7
cy=cy​=wy​−vy​=2.5−(−1.8)=4.3
d=32​⋅ v dx=dx​=32​⋅ vx​=32​⋅ 2.7=59​=154​=1.8
dy=dy​=32​⋅ vy​=32​⋅ (−1.8)=−56​=−151​=−1.2

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