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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
Coplanar :The vectors are in the same plane.Non coplanar :The vectors are not in the same plane.
The angle between 2 vectors can have any value.
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.
When the angle between the two vectors are not a multiple of 180 degrees.
The cosine of the angle between two vectors is used in the dot product because it measures the similarity or alignment of the vectors. The dot product calculates the product of the magnitudes of the vectors and the cosine of the angle between them, resulting in a scalar value that represents the degree of alignment or correlation between the vectors.