Question

Vector D= -A -B +C; A_{x}= 12, A_{y}= -9,
B_{x}= 15, B_{y}= 9, and C has magnitude= 25 and
points at 130 degrees.

a) Use the analytical component method to calculate
D_{x}, D_{y}, D and the angle of D.

b) On a coordinate system draw A, B, and C, then draw them in the graphical method to get D and the approximate angle of D.

Answer #1

Suppose E⃗ =2A⃗ +
3B⃗ where vector A⃗ has
components Ax = 5, Ay = 2 and
vector B⃗ has components Bx =
-3, By = -5.
What is the x-component of vector E⃗ ?
What is the y-component of vector E⃗ ?
What is the magnitude of vector E⃗ ?
What is the direction of vector E⃗ ?

Add the vectors A and B to find the resultant vector C
A: 124miles at 5 degrees North of East
B: 88 miles at 82 degrees North of East
Find the component vectors
Ax:
Ay:
Bx:
By:
Cx:
Cy:
Give the magnitude and direction of vector C.

Add the two vectors to find the resultant vector C which is
equal to A +B
A: 120
feet at 33 degrees North of East
B: 150
feet at 40 degrees South of East
Find the component vectors:
Ax:
Ay:
Bx:
By:
Find the components of C
Cx:
Cy:
Put C back together
Add the vectors:
A: 124
miles at 5 degrees North of South
B: 88
miles at 82 degrees North of South
Components:
Ax:
Ay:
Bx:
By:
Cx:
Cy:
Final Answer: give...

Vector A⃗ has components
Ax = 1.21 cm , Ay = 2.22 cm ;
vector B⃗ has components Bx =
4.00 cm , By = -3.76 cm .
1)Part A
Find the components of the vector sum A⃗ +B⃗
.?
2) Part B
Find the magnitude of the vector sum A⃗ +B⃗
.?
3) Part C
Find the counterclockwise angle the vector sum A⃗
+B⃗ makes with the +x axis.?
4) Part D
Find the components of the vector difference B⃗
−A⃗ ....

1102) a) intg{dx}=Ax+C. b) intg{x dx}=Bx^D + C. c)
intg{(1/x^2)dx}=Ex^F + C. d) intg{7x^8 dx}=Gx^H + C. Answers:
A,B,D,E,F,G,H. ans:7
1104) a) intg{4(x+8) dx}=Ax^2 + Bx + C. b) intg{(8/sqrt(2x))
dx}=Dx^E + C. Answers: A,B,D,E,F,G,H c) intg{sqrt(x)(7x-6)
dx}=(Fx+G)x^H + C. ans:7

Vectors A and B lie in an xy plane. Vector A has a magnitude of
8.1 and angle 144 degrees relative to +x direction; Vector B has
components Bx= -4.31 and By= -8.51. What are the angles between the
negative direction of the y axis and a) the direction of Vector A,
b) direction of the product of Vector AxB, and c) the direction of
Vector Ax(Vector B + 3.00k)?

Given the components of the vectors, A, B, and C
Ax = 5 Bx=4 Cx =10
Ay = -3 By=6 Cy =6
Az = 10 Bz=-2 Cz =0
Find (a) AiCiBx, (b) AiAyBi, (c) AiBiCj , and (d) AiBiCjAk

(a) In unit vector notation, what is r = a - b + c if:
a=5i+4j-6k, b = -2i + 2j+3k, & c = 4i+3j+2k?
(b) Calculate the angle between r and the positive z-axis
(c) What is the component of a along the direction of b?
(d) What is the component of a perpendicular to the direction of
b but in the plane of a and b?
I did a b and c. However, for question C I don't...

Vector A has magnitude of 8.0 at an angle of 20.0deg from the
x-axis. Vector B has magnitude of 7.0 at an angle of -10.0 deg from
the x-axis. Let C=A+B. Let D=A-B. Let V=2*A-B.
1.What is the x-component of vector C?
2.What is the y-component of vector C?
3.What is the x-component of vector D?
4.What is the y-component of vector D?
5.What is the x-component of vector V?
6.What is the y-component of vector V?

Vector PreLab
Prelab questions This Prelab should be submitted before the
start of the lab. Follow your TA instructions on how to turn in the
assignments. Note: you will need to read the lab manual to answer
the questions.
1. Consider vectors ?⃗ and ?⃗⃗, where A=120 N, thetaA=0 ± 1°,
and B=130 N, thetaB=140 ± 1°. Assume that ?? and ??, the
uncertainty in forces A and B, are zero. a) Find Ax, Ay, and their
uncertainties. Refer to...

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