
Dot Product and Angle
Which in turn means vectors v and w are perpendicular. This shows how to find dot product and cosine of the angle between vectors.

Dot Product, Orthogonal Vectors, Angle Between Vectors, Scalar and Vector Projections (12 Problems)
37430 Dot Product, Orthogonal Vectors, Angle Between Vectors Please assist me with the attached problems, including:
1. Find the dot product
2. State whether the given points of vectors are orthogonal
3.

Vectors in linear algebra
(NOTE; This is just the reverse of the Cauchy Schwartz inequality for the ordinary dot product.) Please see the attachment.
Suppose that a "skew" product of vectors in R2 is defined by
Prove that .

Coding in Matlab  Dot, cross, and triple products
In matlab, scaler product is defined as "dot", the cross product is defined as "cross". Hence, to compute the triple product directly in matlab is:
dot(x,cross(y,z));.

Addition vector of two velocities
The direction vectors i and j are orthonormal meaning that they are orthogonal such that they are perpendicular to one another and that the dot product of identical vectors is unity or 1.

Decomposition of a vector.
The projection is found as
Proj_W (V) = [(V dot W)/(W dot W)] times W
The dot here represents the dot product of two vectors, so it's a number.

Work, vectors, and the inner product
If the vectors A and B have magnitudes of 10 and 11, respectively, and the scalar product of these two vectors is 100, what is the magnitude of the sum of these two vectors?
6. Two vectors A and B are given by A = 4i + 8j and B = 6i  2j.

Vector Dot Product Calculations
27300 Vector Dot Product Calculations Vector Dot Product
Let vectors , , and .
Calculate the following:
A.
=
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C.
=
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E.
=
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G.

Finding dot product of vectors.
47523 Vectors Using the given vectors how do I find the specified dot product u=3i8j;v=4i+9j find u.v The vectors are U = 3 i  8j and V = 4i + 9j
U.V = (3i  8j) . (4i+9j)
= 3*4 (i.i) + 3*9 (i.j)  8*4 (j.i)  8*9 (j.j)
Now recall that i.i

Vectors : Identities and Dot Products
24523 Vectors: Identities and Dot Products How could you use the properties of the dot product to prove the following identities: (where u and v denote vectors in Rn)
a) u + v^2 + uv^2 = 2(u^2 + v^2)
b) u + v^2  uv^2 = 4u