Components of vectors Definition and 18 Threads

This is an elementary question in Analysis. I thought it might belong in "General Math", but finally settled on this rubrique. If a moderator wishes to move it to its proper rubrique, I would be grateful. I have come across three explanations for the distinction between covariant and...

Calculations with 1: T1sintheta + T2sintheta = W T1costheta = T2costheta Calculations with 2: Wsintheta = T1 Wcostheta = T2 These are not equivalent. Can someone point out the flaw in my logic? Edit: System is in equilibrium!

Let ##\vec { A }## = ##a \dot { i } + b \hat { j } + c \hat { k }## My question is "is ##\frac { 1 } { \vec { A } }## is a vector or not and if yes then what is it's components?"

Homework Statement Astone is thrown horizontally with an initial velocity of 5 metres per second. What is the magntude and direction of its velocity 0.2s later? Take the acceleration of free fall to be 9.8 metres per second squared and ignore friction. Homework EquationsThe Attempt at a...

Homework Statement There are two cliffs separated by 40 meters (horizontal displacement). An arrow is shot from a bow at an angle and a velocity of 90 m/s. The arrow takes 0.75 seconds to arrive at the other cliff. What is the angle at which the arrow was released? Neglect air resistance...

Homework Statement Finn is lost in the woods, trying to find his way back home which he knows is 7.00 km at a 120.0° angle from his current location. He decides to travel 2.00 km at a 40.0° angle followed by another 5.00 km at a 100° angle. 1) What is his current location using a km coordinate...

I have always been under the impression that a vector is not "fixed" in space. Given any vector, we could just move it around and it would still have the same components (in a cartesian coordinate system). What confuses me, however, is how we define the components of a vector in polar...

Homework Statement Let resultant vector A = 17 i hat - 42 j hat and resultant vector B = 31 j hat + 18 k hat. Find the resultant vector C such that the sum of resultant vector A, B and C equals resultant vector zero. Find the i,j and k components of resultant vector C. Homework Equations...

Vector A is in the direction 41.0 degrees clockwise from the y-axis. The x component of A is = -15.0 . A)What is the y component of vector A? B)What is the magnitude of vector A? I got -13.0m for part a, and 19.8m for part b, but mastering physics says they are wrong. Any ideas?

Homework Statement Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50m due east, then 0.80m at 30° north of due east. Beetle 2 also makes two runs; the first is 1.6m at 40° east of due north. What must be (a) the magnitude and (b) the direction of its second run...

Homework Statement Be the vectors a, b, c such as: | a | = | b | = | c | = 10.5 Angstron The angles between these vectors are: alpha = beta = gamma = 109.5 degree These vectors represent the lattice vectors of a crystal. Find out their components (a_1, a_2, a_3, b_1...

1. Problem is pictured here. http://engineeringhomework.net/statics/hw1p14.html" I have already found the x and y components, but I don't know how to get the u and v as shown.

Homework Statement 1. Given the following force vectors: A is 27 lb at an angle of 27° clockwise from the +x-axis, and B is 44 lb at an angle of 45° clockwise from the +y-axis. (a) Make a sketch and visually estimate the magnitude and angle of the vector C such that 2A+ C − B results in a...

Homework Statement Vector A is 3.28 m long and points along the x axis. Vector B is 190.6 cm long and points at +25° to the positive x axis (a) What are the components of Vector A? (b) What are the components of Vector B? (c) What is the resultant of these two vectors in terms of...

Homework Statement A room has dimensions 2.95 m (height) × 4.68 m × 6.19 m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? (b) If the fly walks rather than flies, what is the length of the shortest path...

Can anyone help me with this question? I would appreciate it. A horse pulls a barge of mass 5000 kg along a canal using a rope 10 m long. The rope is attached to a point on the barge 2m from the bank. As the barge starts to move, the tension in the rope is 500 N. Calculate the barge's initial...

Hi. Does anyone know of a proof that explains why you can't mix x and y components of vectors? For example you know how if you are solving a physics problem you have to break things up into x any y components (eg: velocity). My physics teacher wanted us to find a proof online that explained why...

A commuter airplane starts from an airport located at the origin. first it flies to city "A" located a =110km away from the airport in a direction alpha = 36 degrees North of East. Next it flies b =61.8km beta=38 degrees west of north to city "B". Finally it flies c=168 km due West to city "C"...