Physics
Physi Video Notes
cs Video Notes
Work, Energy
and Power
Class 11ᵗʰ
, Vector Multiplication
Didn’t understand? Watch
the video (Click Here)
Dot Product Cross Product
Dot Product of Vectors: The dot product is also called the scalar product. The dot
product of the two vectors is denoted by dot(.) between those two vectors.
The dot product of two vectors results in the scaler quantity and hence it is also
called the scalar product.
→ →
The Dot Product of vectors P and Q is calculated using the formula,
→ →
P . Q = |P| |Q| cos θ
In component form,
→ →
P . Q = Px Qx + Py Q y + Pz Q z
Cross Product of Vectors: The cross product between two vectors is denoted by the
multiplication sign(×) between two vectors.
The cross product of two vectors results in a vector quantity.
It is defined only in the 3-coordinate system.
For any vectors P and Q, the cross-product is represented as P × Q and is
calculated using the formula,
→ → → →
P × Q = |P| |Q| sin θ
In the coordinate system, the cross product of two vectors is defined as,
Vector Projection
The vector projection of one vector over another vector is the length of the
shadow of the given vector over another vector. It is obtained by multiplying the
magnitude of the given vectors with the cosecant of the angle between the two
vectors. The resultant of a vector projection formula is a scalar value.
Physi Video Notes
cs Video Notes
Work, Energy
and Power
Class 11ᵗʰ
, Vector Multiplication
Didn’t understand? Watch
the video (Click Here)
Dot Product Cross Product
Dot Product of Vectors: The dot product is also called the scalar product. The dot
product of the two vectors is denoted by dot(.) between those two vectors.
The dot product of two vectors results in the scaler quantity and hence it is also
called the scalar product.
→ →
The Dot Product of vectors P and Q is calculated using the formula,
→ →
P . Q = |P| |Q| cos θ
In component form,
→ →
P . Q = Px Qx + Py Q y + Pz Q z
Cross Product of Vectors: The cross product between two vectors is denoted by the
multiplication sign(×) between two vectors.
The cross product of two vectors results in a vector quantity.
It is defined only in the 3-coordinate system.
For any vectors P and Q, the cross-product is represented as P × Q and is
calculated using the formula,
→ → → →
P × Q = |P| |Q| sin θ
In the coordinate system, the cross product of two vectors is defined as,
Vector Projection
The vector projection of one vector over another vector is the length of the
shadow of the given vector over another vector. It is obtained by multiplying the
magnitude of the given vectors with the cosecant of the angle between the two
vectors. The resultant of a vector projection formula is a scalar value.
