how to find direction of a vector with components?
20516
['Apply the equation. to find the magnitude, which is 8.6.', 'Apply the equation theta = tan–1(y/x) to find the angle: tan–1(–7.0/–5.0) = 54 degrees. However, note that the angle must really be between 180 degrees and 270 degrees because both vector components are negative.']
1209170
['Step 1: Find the coordinates of your two displacement vectors. ... ', 'Step 2: Move the second displacement vector so it starts where the first displacement vector ended. ... ', 'Step 3: Draw a new vector that is the addition of the two displacement vectors.']
1109405
A unit vector is vector used to specify only direction. Direction does not have magnitude and therefore that's why the magnitude of the unit vector is always unity (ONE). A position vector is used to tell how far and in which direction a point is with respect to some arbitrarily chosen origin.
348533
['To find for the magnitude and direction of a resultant force when doing vector addition is to find first for the x and y components of the vectors to be added. ... ', '-x-axis. ... ', 'F1 = 5.6 newtons eastward; F2 = 12 newtons 30 degrees west of north; F3 = 9.4 newtons 60 degrees south of west.', 'F1 is eastward hence it is 0 degrees.']
706810
Velocity, being a vector, has both a magnitude and a direction. The magnitude of the velocity vector is the instantaneous speed of the object. The direction of the velocity vector is directed in the same direction that the object moves. Since an object is moving in a circle, its direction is continuously changing.
293262
For example, take a look at the vector in the image. Suppose that the coordinates of the vector are (3, 4). You can find the angle theta as the tan–1(4/3) = 53 degrees. So if you have a vector given by the coordinates (3, 4), its magnitude is 5, and its angle is 53 degrees.
1106670
['Start withy − y1 = m(x − x1)', '(x1, y1) is actually (0, b):y − b = m(x − 0)', 'Which is:y − b = mx.', 'Put b on other side:y = mx + b.']
1080908
The adjacent sides of a parallelogram are represented by the vectors →a=ˆi+ˆj-ˆk and →b=-2ˆi+ˆj+2ˆk. Find unit vectors parallel to the diagonals of the parallelogram.
67952
['Apply the equation. to find the magnitude, which is 1.4.', 'Apply the equation theta = tan–1(y/x) to find the angle: tan–1(1.0/–1.0) = –45 degrees. However, note that the angle must really be between 90 degrees and 180 degrees because the first vector component is negative and the second is positive.']
313930
The displacement vector d from P1 to P2 may be written as d = (x2 - x1)i + (y2 - y1)j. The displacement d is (x2 - x1) units in the x-direction plus (y2 - y1) units in the y-direction. The magnitude of the displacement is d = ((x2 - x1)2 + (y2 - y1)2)½.
1461644
The velocity and acceleration of the car are depicted by vector arrows. ... A simple rule of thumb for determining the direction of the acceleration is that an object which is slowing down will have an acceleration directed in the direction opposite of its motion.
1438920
['X - Determines your position East/West in the map. A positive value increases your position to the East. ... ', 'Y - Determines your position up/down in the map. A positive value increases your position upward. ... ', 'Z - Determines your position South/North in the map. A positive value increases your position to the South.']
430737
Vector is equal to vector b. For two vectors to be equal, they must have both the magnitude and the directions equal.
1149082
The zero vector has no particular direction; this is consistent with the fact that it is orthogonal to every other vector. (It doesn't really make sense to say it has "direction 0", since direction is not a magnitude; "direction 0" makes no more sense than "direction 1" or "direction 5.873".)
762080
The two vectors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are theta_+1 = 30 degree and theta_2 = 105 degree. Find the x and y components of their vector sum 7, the magnitude of r, and the angle r makes with the positive direction of the x axis.
1249465
No. All unit vectors have length 1, but not necessarily the same direction. ... If each component of a non-zero vector in R³ is tripled then the length of that vector is tripled.
899207
The trajectory has horizontal (x) and vertical (y) components. Velocity is a vector (it has magnitude and direction), so the overall velocity of an object can be found with vector addition of the x and y components: v2 = vx2 + vy2.