Answer:
c) v.v
Step-by-step explanation:
The Dot product also known as scalar product or inner product is the multiplication of two equal length vectors which results in a scalar.
Mathematically,
[tex]a.b=|a|*|b|*cos(\alpha)[/tex]
where [tex]|a|[/tex] and [tex]|b|[/tex] are the magnitudes of the vectors a and b
[tex]cos(\alpha)[/tex] is the angle between vectors a and b
If a and b are in the same direction then [tex]cos(\alpha)=1[/tex]
[tex]a.b=|a|*|b|[/tex]
if a and b are orthogonal (90°) then [tex]cos(\alpha)=0[/tex]
[tex]a.b=0[/tex]
To represent the square of the magnitude of a vector v
[tex]v.v=|v|*|v|=|v|^2[/tex]
Hence option c is the correct answer
a. v/|v|
Here vector v is divided by its own magnitude
b. v.|v|
Here vector v is multiplied by its own magnitude
c. v.v
Represents the square of the magnitude of vector v
d. v^2.v^2
Represents the dot product of square of vector v
