Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1
A vector only has zero magnitude when all its components are 0.
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
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.
vector equal in magnitude and opposite direction
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
The magnitude of dot product of two vectors is equal to the product of first vector to the component of second vector in the direction of first. for ex.- A.B=ABcos@
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.
(Magnitude of the vector)2 = sum of the squares of the component magnituides Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'. Then C2 = A2 + B2 You have said that C = A, so C2 = C2 + B2 B2 = 0 B = 0 The other component is zero.
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
When the angle between any two component vectors is either zero or 180 degrees.
Any other vector with with the same magnitude and the same direction.
vector equal in magnitude and opposite direction
yes