Question

Vector *A*⃗ has a magnitude of 25 m and makes an angle of
30∘ above the positive *x* axis. Vector *B*⃗ has a
magnitude of 13 m and is oriented 60∘ to the left of the *y*
axis.

A) Find the magnitude of *A*⃗ −*B*⃗ .

B) Find the direction of *A*⃗ −*B*⃗ .

C) Find the magnitude of 2*A*⃗ +*B*⃗ .

D) Find the direction of 2*A*⃗ +*B*⃗ .

E) Find the magnitude of −*A*⃗ +3*B*⃗ .

F) Find the direction of −*A*⃗ +3*B*⃗ .

Answer #1

The vector A⃗ A→ has a magnitude of 5.0 mm and makes an angle of
60 degrees above the positive x-axis. The vector B⃗ B→ has
components Bx = 2.5 mm and By = -2.5 mm .
Find the direction of A⃗ −B⃗ A→−B→, relative to the positive
x-axis.
85 degrees
-14 degrees
90 degrees
20 degrees

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 ....

A. Find the direction of vector A⃗ =( 26 m )x^+( -9.0 m )y^.
B. Find the magnitude of vector A⃗ =( 26 m )x^+( -9.0 m )y^.
C. Find the direction of vector B⃗ =( 4.5 m )x^+( 19 m )y^.
D. Find the magnitude of vector B⃗ =( 4.5 m )x^+( 19 m )y^.
E.Find the direction of vector A⃗ +B⃗ .
F. Find the magnitude of vector A⃗ +B⃗ .

The vector product of vectors A⃗ and
B⃗ has magnitude 12.0 m2 and is in the
+z-direction.Vector A⃗ has magnitude 4.0 m and is in the
−x-direction. Vector B⃗ has no x-component.
Part A: What is the magnitude of vector B⃗ ? (I solved this
question the answer is 3 and it's correct)
Part B: What is the direction angle θ of vector
B⃗ measured from the +y-direction to the +z-direction?
(This is the part that I didn't get it correct)

the
vector A has a magnitude of 8.0 m and makes an angle of 60 degrees
above the positive xaxis. the vector B has components Bx = 4m and
By = -4m. find the direction of A-B, relative to the positive
xaxis.

A⃗: 35 m at 15∘
B⃗: 16 m at 260∘
C⃗: 14 m at 135∘
Graphically find the magnitude of the resultant vector for
A⃗ + B⃗ + C⃗.
What is the angle of the resultant vector as measured from the
positive x-axis?

Vector A has a magnitude 10.0 N and makes an angle of 45 degrees
with the x axis. Vector B has a magnitude of 15.0 N and makes an
angle of 30 degrees with the x axis. What is the magnitude of
vector C if C = 2A - B? Answer in units of Newtons. What angle does
C make with the x axis? Answer in units of degrees. What is the
projection of C onto the y axis? Answer...

Vector A has a magnitude of 7.20 units and
makes an angle of 25.0° with the positive x axis. Vector
B also has a magnitude of 7.20 units and is
directed along the negative x axis. Using graphical
methods, find the following.
(a) the vector sum A + B
___units at ___ ° counterclockwise from the positive x
axis
(b) the vector difference A - B
__ units at __° counterclockwise from the positive x
axis

1) The magnitude of vector A is 16, that of vector B is 22 and
that of vector C is 44. Vector A pointing north of west with an
angle of 32o above the -x axis, vector B is pointing
north of east with an angle of 19o clockwise (right) of
the +y axis and vector C is pointing south of west with an angle of
58o below the -x axis.
a) draw vectors A, B and C in the...

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 ?

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