Table of Contents
What can be the angle between vector a B and AB?
The angle between A and 2A is zero, because they are parallel vectors.
When two vectors A and B are equal they must have equal magnitudes?
By definition, two vectors are equal if and only if they have the same magnitude in the same direction. It can be seen from the figure that vector a and vector b are parallel and pointing in the same direction, but their magnitudes are not equal.
What is addition Triangle law?
What is Triangle Law of Vector Addition? Triangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.
What does it mean if two vectors are equal?
Two vectors and are said to be equal, if they have the same magnitude and direction regardless of the positions of their initial points .
What is the angle between vectors A and B?
The magnitude of a vector V is the square root of the dot product with itself, i.e. Thus, A*B = 0, making the angle between them 90 degrees. Originally Answered: If |A + B| = |A – B| then the angle between vectors A and B is what?
How do you find the angle between two orthogonal vectors?
This means that the scalar product of A and B is null so the two vectors are orthogonal, and the angle between then is obtained knowing that ⟨A,B⟩ = cos(ˆAB)∥A∥∥B∥. Now supposing that ∥A∥ ≠ 0 and ∥B∥ ≠ 0 we have We can use some properties of the Vector Norm.
What is the difference between a-B and B-a?
Vectors A-B and B-A are the same in magnitude but different in direction. Here are two examples. If the vectors are in the same dimension (in line) then A-B and B-A are equal in magnitude but different in direction. Using displacement as an illustration.
What is the magnitude of B in the equation A+B=A-B?
According to this equation A+B=A-B by looking at this we can conclude that this condition will be satisfied only if the value of B is zero. So the magnitude of B must be zero. If A and B are two vectors, what is the angle between (A+B) and (A-B)?