When all the vectors have the same direction.
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
It helps to understand division as the opposite of multiplication. In this case, v / s = x; a vector divided by a scalar is something unknown. Turn this around, into a multiplication: x times s = v. In other words: What must I multiply by a scalar to get a vector?
vector equal in magnitude and opposite direction
When a scalar quantity(if it has positive magnitude) is multiplies by a vector quantity the product is another vector quantity with the magnitude as the product of two vectors and the direction and dimensions same as the multiplied vector quantity e.g. MOMENTUM
Because speed is the magnitude of the velocity vector. The velocity consists of the speed and the direction, and the whole thing can be embodied in a 3D vector. If you like the velocity is the magnitude (the speed), which is a scalar (just a real number), multiplied by a unit vector in the right direction.
-- Distance is a scalar quantity, whereas displacement is a vector. -- Distance is the integral of magnitude of displacement. -- Magnitude of displacement is always less than or equal to distance. -- The two quantities are equal when the motion is in a straight line.
If the sum of the squares of the vector's components is ' 1 ',then the vector's magnitude is ' 1 '.
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
Distance traveled is equal to the magnitude of the displacement vector when the motion is in a straight line.
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
A vector quantity is a quantity that has both magnitude and direction. Velocity, acceleration, and force are examples of vector quantities.A scalar quantity is a quantity that has magnitude, but no direction. Time, mass, volume, and speed are examples of scalar quantities.
It helps to understand division as the opposite of multiplication. In this case, v / s = x; a vector divided by a scalar is something unknown. Turn this around, into a multiplication: x times s = v. In other words: What must I multiply by a scalar to get a vector?
Any other vector with with the same magnitude and the same direction.
vector equal in magnitude and opposite direction