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Sentences with SCALAR-PRODUCT

Check out our example sentences below to help you understand the context.

Sentences

1
"The scalar product of two vectors can be calculated by multiplying their magnitudes and the cosine of the angle between them."
2
"In physics, the scalar product is used to determine the work done by a force in a given direction."
3
"The scalar product is also known as the dot product or inner product."
4
"When the scalar product of two vectors is zero, it means they are orthogonal to each other."
5
"The scalar product can be positive, negative, or zero depending on the angle between the vectors."
6
"The scalar product is commutative, which means changing the order of the vectors does not affect the result."
7
"One practical application of the scalar product is in calculating the angle between two vectors."
8
"The scalar product of a vector with itself yields the square of its magnitude."
9
"Geometrically, the scalar product is related to the projection of one vector onto another."
10
"The scalar product is an important concept in linear algebra and vector calculus."
11
"The scalar product is used to determine if two vectors are parallel or antiparallel."
12
"In 3D graphics, the scalar product is used for lighting calculations and determining the visibility of objects."
13
"The scalar product is used in differential geometry to define the metric tensor."
14
"Calculating the scalar product involves multiplying the corresponding components of the vectors and adding them together."
15
"Vectors with a scalar product of zero are said to be perpendicular or orthogonal."
16
"The scalar product is useful in determining the projections of vectors onto different axes."
17
"One application of the scalar product is in finding the components of a vector along a specific direction."
18
"The scalar product can be represented using the dot (·) notation."
19
"In engineering, the scalar product is used in analyzing forces and moments acting on structures."
20
"The scalar product is distributive with respect to vector addition."
1
"The scalar product of two vectors is equal to the product of their magnitudes and the cosine of the angle between them."
2
"In physics, the scalar product of force and displacement gives the work done on an object."
3
"To calculate the scalar product of two matrices, we multiply corresponding elements and add the results."
4
"The scalar product is also known as the dot product."
5
"In mathematics, the scalar product is used to find the angle between two vectors."
6
"The scalar product of two perpendicular vectors is zero."
7
"In linear algebra, the scalar product is often denoted as a dot between two vectors."
8
"The scalar product can be used to determine if two vectors are orthogonal."
9
"The scalar product of a vector with itself yields the square of its magnitude."
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