Vector coordinate operations

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

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

Try another example


Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.

You need to know the following knowledge to solve this word math problem:

geometryarithmeticGrade of the word problem

Related math problems and questions: