7
The magnitude of the resultant can be anything between [ 1 ] and [ 7 ], depending on
the angle between the original two vectors.
The resultant will 7
7
3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.
11
Vectors are added graphically tip to tail. You subtract vector B from vector A by adding vector -B to vector A. Where -B means a vector that points in the opposite direction as B , but has same magnitude. For example to subtract B (magnitude 4, points left) from vector A (magnitude 3, points up), first draw A, then draw -B (magnitude 4, points right) ,starting -B at the tip of A. Then the vector that connects the tail of A to the tip of -B is the difference A - B or A + (-B) . In this example A & -B form the legs 3 & 4 of a right triangle so the hypotenuse (which is A - B) is 5.
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
7
5
A magnitude of less than 1. cw: An absolute magnitude of less than 1.
7
3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.3 times the magnitude of the vector V - which is not known.
If the two vectors are in the form: P = ai + bj, and Q = ci + djThen the resultant vector is (a + c)i + (b + d)jand the magnitude is:sqrt((a +c)2 + (b + d)2)If 3 dimensional, then the k components are added then squared and added to the i & j components, before taking the square root.
Polygon Method Of Adding Vector1. Draw the first vector using a scale.2. Connect the tail, the 2nd vector to the arrow head to first vector. Repeat desame procedures with the other vector.3. Join the tail of the first vector to the arrow head of the last vector to determine the magnitude and direction of resultant.4. The length of resultant draw the scale determines the magnitude and the direction is the angle between the arrow head of the last vector.
The multiplicative resultant is a three unit vector composed of a vector parallel to the 3 unit vector and a vector parallel to the product of the 3 unit and 4 unit vectors. R = (w4 + v4)(0 +v3) = (w40 - v4.v3) + (w4v3 + 0v4 + v4xv3) R = (0 - 0) + w4v3 + v4xv3 as v4.v3 =0 ( right angles or perpendicular)
-- A singe vector with a magnitude of zero produces a zero resultant.-- Two vectors with equal magnitudes and opposite directions produce a zero resultant.
Vector quantities include magnitude and direction.
11
Vectors are added graphically tip to tail. You subtract vector B from vector A by adding vector -B to vector A. Where -B means a vector that points in the opposite direction as B , but has same magnitude. For example to subtract B (magnitude 4, points left) from vector A (magnitude 3, points up), first draw A, then draw -B (magnitude 4, points right) ,starting -B at the tip of A. Then the vector that connects the tail of A to the tip of -B is the difference A - B or A + (-B) . In this example A & -B form the legs 3 & 4 of a right triangle so the hypotenuse (which is A - B) is 5.