To add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)
AnswerResolve both of the planes displacement vectors into x and y components and then add the componentsTo add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)
No. Because vectors have direction as well as magnitude, you must take the direction into account when you add them. Example: Vector A parallel to [0,0; 0,4] Vector B parallel to [0,0; 3,0] These vectors are at right angles to each other Vector A has a magnitude of 4, Vector B an magnitude of 3. A + B = has a magnitude of 5, parallel to [0,0;3,4]
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
Only if they add up to 180 degrees which would be the case if the parallel lines are cut through by a perpendicular line.
Vectors can be added graphically: draw one vector on paper, move the other so that its tail coincides with the head of the first. Vectors can also be added by components. Just add the corresponding components together. For example, if one vector is (10, 0) and the other is (0, 5) (those two would be perpendicular), the combined vector is (10+ 0, 0 + 5), that is, (10, 5). Such a vector can also be converted to polar coordinates, that is, a length and an angle; use the "rectangular to polar" conversion on your scientific calculator to do that.
To add two vectors that aren't parallel or perpindicular you resolve both of the planes displacement vectors into "x' and "y" components and then add the components together. (parallelogram technique graphically)
Yes - if you accept vectors pointing in opposite directions as "parallel". Example: 3 + 2 + (-5) = 0
No, it is simpler than that. Simply add the two magnitudes. The direction will be the same as the parallel vectors.
Nonperpendicular vectors need to be resolved into components because the Pythagorean theorem and the tangent function can be applied only to right triangles.
When vectors are not perpendicular, their components in a given direction are not simply the scalar values of the original vectors. Resolving nonperpendicular vectors into components along mutually perpendicular axes (commonly x and y axes) allows you to add the components of each individual vector separately to obtain the resulting vector accurately using vector addition rules. This process is necessary to ensure that the direction and magnitude of the resulting vector are correctly calculated.
No. Because vectors have direction as well as magnitude, you must take the direction into account when you add them. Example: Vector A parallel to [0,0; 0,4] Vector B parallel to [0,0; 3,0] These vectors are at right angles to each other Vector A has a magnitude of 4, Vector B an magnitude of 3. A + B = has a magnitude of 5, parallel to [0,0;3,4]
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
Only if they add up to 180 degrees which would be the case if the parallel lines are cut through by a perpendicular line.
Yes, you can add vectors of equal length. Make sure they are equal by both of them having the same magnitude and direction. Otherwise, you can add equal vectors.
Vectors can be added graphically: draw one vector on paper, move the other so that its tail coincides with the head of the first. Vectors can also be added by components. Just add the corresponding components together. For example, if one vector is (10, 0) and the other is (0, 5) (those two would be perpendicular), the combined vector is (10+ 0, 0 + 5), that is, (10, 5). Such a vector can also be converted to polar coordinates, that is, a length and an angle; use the "rectangular to polar" conversion on your scientific calculator to do that.
Because scalars do not take in the direction but just the magnitude while vectors can. You can add vectors ONLY if they are in the same direction.
Vector addition is commutative so you can start with either vector.The graphical solutions are quite simple.If the vectors are parallel, then their addition is the sum of the two vectors and acts in the same direction.If the vectors are anti-parallel, then their addition is the difference of the two vectors and acts in the direction of the larger vector.If the vectors are not parallel, draw them with their tails together. The complete the parallelogram using these as two of the sides. The addition of the vectors is the diagonal through the first vertex.Otherwise, (and more accurately),if you have vectors a and b inclined at angles p and q to the positive direction of the x axis, then the component of their sum along thehorizontal direction is s = a*cos(p) + b*cos(q)and the vertical component is t = a*sin(p) + b*sin(q)The magnitude of the resultant is sqrt(s2 + t2) and its direction is arctan(t/s) within the appropriate range.