Vector - basic operations

There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18]

a. Determine the coordinates of the vectors u=AB v=CD s=DB
b. Calculate the sum of the vectors u + v
c. Calculate the difference of vectors u-v
d. Determine the coordinates of the vector w = -7.u

Correct answer:

ux =  11
uy =  18
vx =  -4
vy =  20
sx =  10
sy =  2
(u+v)x =  7
(u+v)y =  38
(u-v)x =  15
(u-v)y =  -2
wx =  -77
wy =  -126

Step-by-step explanation:

u=(2(9);16(2))=(11;18)
uy=16(2)=18
s=(12(2);18(16))=(10;2)
vy=18(2)=20
sx=12(2)=10
sy=18(16)=2
u+v=(11+(4);18+(20))=(7;38)
(u+v)y=18+(20)=38
uv=(11(4);18(20))=(15;2)
(uv)y=18(20)=2
w=7.u=(7(11);7(18))=(77;126)
wy=7 (18)=126



Did you find an error or inaccuracy? Feel free to write us. 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:

Related math problems and questions: