Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!

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Question 1139437: Hi. Any help would be greatly appreciated.
Find the magnitude and direction of the resultant of the following 3 forces in 2 dimensions.
Force 1 10N at 30 degrees to the positive x axis
Force 2 20N at 120 degrees to the positive x axis
Force 3 30N at 240 degrees to the positive x axis.
Thank you
Click here to see answer by Alan3354(69443)

Question 1141399: The curves f(x)=x^2−4x−3 and g(x)=2x−11 intersect at the point (2,-7).
Find the angle of intersection, in radians on the domain 0≤t<π, to two decimal places.
Click here to see answer by rothauserc(4718)

Question 1141439: Let →a=⟨2,6,−3⟩ and →b=⟨8,6,1⟩.
Find (→a−→b)×(→a+→b)
Click here to see answer by math_helper(2461)

Question 1141442: A person starts walking from home and walks:
2 miles East
3 miles Southeast
3 miles South
5 miles Southwest
4 miles East
a. This person has walked a total of __ miles
b. Find the total displacement vector for this walk
c. If this person walked straight home, they'd have to walk __ miles
Click here to see answer by Alan3354(69443)

Question 1141440: Find the area of a triangle PQR, where P=(4,4,−1), Q=(3,3,1), and R=(3,−5,6)
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Question 1141473: Let u = (2,1,2), v = (3,2,1) and w = (1,2,-5) be vectors in 3-dimension space. (a). Represent u, v and w graphically of vectors in 3-dimension space. (b). Calculate u+v and show u, v and u+v graphically in 3-dimension space. (c). Evaluate u+v+5w and 3u-v-2w
Click here to see answer by Alan3354(69443)

Question 1141438: Let →a=⟨4,−3,−6⟩ and →b=⟨5,8,8⟩.
Find (→a−→b)×(→a+→b)
Click here to see answer by Alan3354(69443)

Question 1141441: Find the volume of the parallelepiped determined by the vectors →a=⟨5,3,−1⟩, →b=⟨0,4,2⟩, →c=⟨2,5,1⟩.
Click here to see answer by ikleyn(52778)

Question 1141474: Let u = (1-i,2i), v = (1+i,-2), w = (2,-2+2i) be vectors in the complex vector
space. (a). Evaluate (3+i)u. (b).(1+i)v. (c). Determine of possible a complex
scalar c such that v=cu
Click here to see answer by Edwin McCravy(20054)

Question 1142445: find the inner product of vector a and b if a(5,6)
Click here to see answer by ikleyn(52778)

Question 1146383: to an observer on a train which is heading in the direction 135° at 50 kmh-1, a car 3 km due east appears to be travelling due north at 20 kmh-1 . Find the distance apart of the train and the car after 3 minutes.
Click here to see answer by Alan3354(69443)

Question 1146596: The equation d=√Δx^2+Δy^2 is valid only if Δx and Δy are magnitudes of vectors that have what orientation with respect to each other?
Click here to see answer by richwmiller(17219)

Question 1146594: The equation d=√Δx^2+Δy^2 is valid only if Δx and Δy are magnitudes of vectors that have what orientation with respect to each other?
Click here to see answer by richwmiller(17219)

Question 1146651: For the given vectors u=(3,-1,4) and v=(2,0,1).
Compute u(u*v) and v(u*v)
Click here to see answer by greenestamps(13198)

Question 1146666: Given u=(3,-1,4) and v=(2,0,1). Compute the following vector or cross product
(i.) u(u * v)
(ii.) v(u * v)
Click here to see answer by Alan3354(69443)

Question 1146880: we have a rectangle ABCD and diagonal AC, and 3 syntactic points E on AD, Zon AC, and H on AB.
IT IS GIVEN THAT
vector AB= K*vector AE
vector AD=L* vector AH
vector AC= M* vector AZ
SHOW THAT K+L=M
Click here to see answer by ikleyn(52778)

Question 1147491: Find two vector v1 and v2 whose sum is <4,1>, where v1 is parallel to <3,5> while v2 is to <3,5>
Click here to see answer by greenestamps(13198)

Question 1149370: If vector a is 3i minus 2j plus k, find the unit vector c
Click here to see answer by greenestamps(13198)

Question 1149370: If vector a is 3i minus 2j plus k, find the unit vector c
Click here to see answer by ikleyn(52778)

Question 1149366: Two vectors p and q act an angle sixty degrees with each other. If p is 20 unit and q is 8 unit. Find the resultant and its magnitude
Click here to see answer by greenestamps(13198)

Question 1149457: A particle at weight 200N rests on a plane inclined at 50 degrees to the horizontal. What are the components of the weight :
A) parallel
B) perpendicular to the plane?
Click here to see answer by ikleyn(52778)

Question 1149456: Find the horizontal and vertical components of
A) a force of 30N acting at 30 degrees to the horizontal
B) a velocity of 50m/s at 60 degrees to the horizontal.
Click here to see answer by ikleyn(52778)

Question 1149454: Two foraces of magnitude 10N and 12N act on a particle. If the angle between them is sixty degrees. Find the magnitude and direction of their resultant.
Click here to see answer by amarjeeth123(569)

Question 1149626: The middle of a uniform 80cm long bar is placed on a knife edge and a 4kg mass is suspended from one free end of the bar. How far from the other free end must a 6.4kg mass be suspended to maintain the bar horizontal position?
Click here to see answer by ikleyn(52778)

Question 1151767: Let a=3i-2j+5k b=i+3j+5k find vector a*b
Click here to see answer by greenestamps(13198)

Question 1153964: If \\(bar{PQ}=4i+3j+2k \\), then find \\(|\\bar{PQ}|\\)
Click here to see answer by ikleyn(52778)

Question 1154025: If \\(\\bar{PQ}=4I + 3j + 2k\\), then find \\(|\\bar {PQ}|\\)
Click here to see answer by jim_thompson5910(35256)

Question 1155120: magnitude of vector <3,-8>
Click here to see answer by ikleyn(52778)

Question 1155122: Vector v has a magnitude of 15 and a direction angle of 60 degrees. Calculate the resulting vector v + u, using vector u from #3. Input your answer using a linear combination, What is the direction angle for the resultant vector v + u?
Click here to see answer by Alan3354(69443)

Question 1155121: What is the vector u (component form or linear combination) that has a magnitude of 25 and a direction angle of 140°?

Click here to see answer by Alan3354(69443)

Question 1155217: Vector v has a magnitude of 15 and a direction angle of 60 degrees. vector u has a magnitude of 25 and a direction angle of 140°.
What is the direction angle for the resultant vector v + u?
Click here to see answer by ikleyn(52778)

Question 1155215: Vector v has a magnitude of 15 and a direction angle of 60 degrees. Calculate the resulting vector v + u, vector u has a magnitude of 25 and a direction angle of 140°
Click here to see answer by ikleyn(52778)

Question 1155387: Are v = -4i +10j and u = 8i - 20j parallel, how do you tell?
Click here to see answer by Alan3354(69443)

Question 1155385: Find the dot product for the two vectors <-12,3> and <4,-5>
Click here to see answer by Alan3354(69443)

Question 1155388: The angle between two vectors, u and v, is 30 degrees and the dot product is 24. If the magnitude of vector u is √12, then calculate the magnitude of vector v.
Click here to see answer by amarjeeth123(569)

Question 1159990: A 10 kg box is resting on a ramp inclined at 35° to the horizontal. Resolve the weight of the box into the rectangular vector components that keep the box at rest. Include a diagram illustrating this situation.
Click here to see answer by ikleyn(52778)

Question 1159989: 3. Resolve the velocity of 80 km/h at a bearing of 290° into its rectangular vector components.
Click here to see answer by Alan3354(69443)

Question 1160091: 1. A plane is steering at S65°W at an air speed of 625 km/h. The wind is from the NW at 130 km/h. Find the ground speed and track of the plane. Include a vector diagram in your solution.
Click here to see answer by MowMow(42)

Question 1159987: Two forces act on an object at 30° to each other. One force has a magnitude of 180 N, and the resultant has a magnitude of 320 N. a) Draw a vector diagram illustrating this situation.
Click here to see answer by KMST(5328)

Question 1159988: Two forces act on an object at 30° to each other. One force has a magnitude of 180 N, and the resultant has a magnitude of 320 N.
a) Draw a vector diagram illustrating this situation.
b) Determine the magnitude of the second force and the direction it makes with the resultant.
c) What is the magnitude of the equilibrant force and what angle does it make with the 180N
force

Click here to see answer by KMST(5328)

Question 1160501: A jet is flying at 350 miles/hour in still air. It is traveling in the direction of 210°, where 90° represents North. Find the component form of vector r, which represents the jet's motion.
Click here to see answer by jim_thompson5910(35256)

Question 1160830: Find the angle α between the vectors in radians
a = (-2, 3), b = (6, 2)
Click here to see answer by ikleyn(52778)

Question 1160970: Let v=[4, -9, 1, 9]. Find a basis of the subspace of R^4 consisting of all vectors perpendicular to v.
Click here to see answer by rothauserc(4718)

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