5
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.
7
7
vector PQ where P(-4, -3) and Q(-2, 2) equivalent vector P'Q' where P'(0, 0) and Q'(2, 5) the magnitude doesn't change so we can compute |P'Q'| = √(22 + 52) = √29
Vector quantities include magnitude and direction.
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.
The magnitude of the vector from P = (x1, y1, z1) to Q = (x2, y2, z2) is sqrt[(x2 - x1)2 + (y2- y1)2 + (z2 - z1)2] (Pythagoras in 3-D).
Length. The longer the vector arrow, the bigger the quantity it represents.
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]
It means take it apart into parts that can be added back together to return to the original number. For example, you could decompose 37.25 into its integer part (37) and its fractional part (0.25). Or you could decompose the 2-dimensional vector (2,3) in the Cartesian plane into a horizontal vector of magnitude 2 and a vertical one of magnitude 3.