Question

Given the following vectors:

A= 200m at 30 degrees north of east

B= 240m at 30 degrees south of west

C= 160 m due east

D= 120m due south

Find:

a. A+B+C+D

b. D+A+B+C

c. -A-B-C-D

d. 2D+2A-B-2C

Answer #1

Given are the vectors A=30 N 45’ North of West and B=45 N 75’ South
of East. Determine their resultant (Polygon Method) and their
vector difference B-A.
Also explain how the vector difference is being determined.
Thanks.

Consider two vectors ?⃗⃗ :( 30.0 m, 20.0degrees North of East)
and ?⃗⃗ : (50.0 m, 30.0degrees West of North).
a- Represent both vectors in an x-y coordinate system and find the
components of vector ?⃗⃗ and ?⃗⃗⃗ .
b- Express vector ?⃗⃗ = ?? ⃗⃗⃗ - ?/3 ?⃗⃗⃗ as a linear combination
of the unit vectors.
c- Calculate the magnitude and direction of vector ?⃗⃗

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...

Displacement vectors
A,
B,
and
C
add up to a total of zero. Vector
A
has a magnitude of 1550 m and a direction of 22.4° north of
east. Vector
B
has a direction of 41.0° east of south, and vector
C
has a direction of 34.4° north of west. Find the magnitudes of
vector
B
and vector
C.

Following a treasure map, Captain Jack Sparrow walks north for
100 m, then turns toward 30 degrees south of east and walks for
80.0 m, then turns toward 45 degrees north of east and walks for
150 m. Find the magnitude of Captain Sparrow's displacement.

A grasshopper makes four jumps. The displacement vectors are (1)
34.0 cm, due west; (2) 33.0 cm, 41.0 ° south of west; (3) 22.0 cm,
56.0 ° south of east; and (4) 18.0 cm, 57.0 ° north of east. Find
(a) the magnitude and (b) direction of the resultant displacement.
Express the direction as a positive angle with respect to due
west.

A grasshopper makes four jumps. The displacement vectors are (1)
38.0 cm, due west; (2) 27.0 cm, 42.0 ° south of west; (3) 20.0 cm,
66.0 ° south of east; and (4) 23.0 cm, 77.0 ° north of east. Find
(a) the magnitude and (b)
direction of the resultant displacement. Express the direction as a
positive angle with respect to due west.

A 379-kg boat is sailing 11.0° north of east at a speed of 1.80
m/s. 35.0 s later, it is sailing 38.0° north of east at a speed of
4.30 m/s. During this time, three forces act on the boat: a 32.1-N
force directed 11.0° north of east (due to an auxiliary engine), a
21.8-N force directed 11.0° south of west (resistance due to the
water), and (due to the wind). Find the (a) the magnitude and (b)
direction of...

A 373-kg boat is sailing 12.0° north of east at a speed of 2.00
m/s. 31.0 s later, it is sailing 39.0° north of east at a speed of
4.00 m/s. During this time, three forces act on the boat: a 31.9-N
force directed 12.0° north of east (due to an auxiliary engine), a
20.8-N force directed 12.0° south of west (resistance due to the
water), and (due to the wind). Find the (a) the magnitude and (b)
direction of...

A 362-kg boat is sailing 17.0° north of east at a speed of 1.60
m/s. 40.0 s later, it is sailing 40.0° north of east at a speed of
4.40 m/s. During this time, three forces act on the boat: a 30.5-N
force directed 17.0° north of east (due to an auxiliary engine), a
23.8-N force directed 17.0° south of west (resistance due to the
water), and (due to the wind). Find the (a) the magnitude and (b)
direction of...

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