What are difference between scalars and vectors
ma0!
Vectors have a direction associated with them, scalars do not.
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
Coplanar :The vectors are in the same plane.Non coplanar :The vectors are not in the same plane.
What are difference between scalars and vectors
ma0!
Vectors have a direction associated with them, scalars do not.
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
Without the difference between scalars and vectors the Universe doesn't work !
Coplanar :The vectors are in the same plane.Non coplanar :The vectors are not in the same plane.
To find the angle between two vectors, you need to use this form: a ∙ b / (|ab|) = cos(θ) θ = arccos(a ∙ b / (|ab|)) where a and b are vectors. Compute the dot product and the norm of |a| and |b|. Then, compute the angle between the vectors.
All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
The three types of vectors are position vectors, displacement vectors, and force vectors. Position vectors represent the position of a point in space relative to a reference point, displacement vectors represent the change in position of an object, and force vectors represent the interaction between objects that can cause acceleration.
The angle between two vectors a and b can be found using the dot product formula: a · b = |a| |b| cos(theta), where theta is the angle between the two vectors. Rearranging the formula, we can solve for theta: theta = arccos((a · b) / (|a| |b|)).
Vectors that go in different directions are called orthogonal vectors. This means that the vectors are perpendicular to each other, with a 90 degree angle between them.
When the angle between the two vectors are not a multiple of 180 degrees.