Determine whether the vectors u and v are orthogonal, parallel or neither. (show/explain your answers) a) u =(2,-3,1) b) u =j+6k v = (-1,-1,-1) v=i-2j-k If you answered "neither" in one of the above, what is the projection vector of v onto u? Show your work.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.1: The Law Of Sines
Problem 42PS
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3 and 4
tachment?fid=22646532
Tube
1/1
MetroPCS
MetroPCS EDGE
100%
www.edgemetrop...
Find the direction and magnitude of the resultant force. Show your
work.
2. The guy wire supporting a 100-foot tower has a tension of
500 lbs. (pulling in the direction from the ground to the top of
the tower). Using the distances in the (derived from
placing the xyz-axes as shown), give the component form of
the force vector F representing the tension in the wire. Show
your work.
5. An airplane takes off from Kahului to
Hilo which is 123 miles in the direction
43° South of East. The plane takes off
heading in the direction of Hilo at 110
mi/hr. However, a wind is blowing to the
North East at 25 mi/hr.
3. Determine whether the vectors u and v are orthogonal, parallel or neither.
(show/explain your answers)
a) u =(2,-3,1) v = (-1,-1,-1)
b) u =j+6k
v=i-2j-k
a. If the plane does not compensate for
the wind, what will be its velocity
Honolulu
Determine whether the
MetroPCS
N
Lanai
-50
4. If you answered "neither" in one of the above, what is the projection vector of v onto u?
Show your work.
75
ahuhui
New Ta
30°
-45°
200 lb
100
Hawaiian Island
H
Transcribed Image Text:tachment?fid=22646532 Tube 1/1 MetroPCS MetroPCS EDGE 100% www.edgemetrop... Find the direction and magnitude of the resultant force. Show your work. 2. The guy wire supporting a 100-foot tower has a tension of 500 lbs. (pulling in the direction from the ground to the top of the tower). Using the distances in the (derived from placing the xyz-axes as shown), give the component form of the force vector F representing the tension in the wire. Show your work. 5. An airplane takes off from Kahului to Hilo which is 123 miles in the direction 43° South of East. The plane takes off heading in the direction of Hilo at 110 mi/hr. However, a wind is blowing to the North East at 25 mi/hr. 3. Determine whether the vectors u and v are orthogonal, parallel or neither. (show/explain your answers) a) u =(2,-3,1) v = (-1,-1,-1) b) u =j+6k v=i-2j-k a. If the plane does not compensate for the wind, what will be its velocity Honolulu Determine whether the MetroPCS N Lanai -50 4. If you answered "neither" in one of the above, what is the projection vector of v onto u? Show your work. 75 ahuhui New Ta 30° -45° 200 lb 100 Hawaiian Island H
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