AP Calculus BC › Normal Vectors
Determine whether the two vectors, and
, are orthogonal or not.
The two vectors are orthogonal.
The two vectors are not orthogonal.
Vectors can be said to be orthogonal, that is to say perpendicular or normal, if their dot product amounts to zero:
To find the dot product of two vectors given the notation
Simply multiply terms across rows:
For our vectors, and
The two vectors are orthogonal.
Determine whether the two vectors, and
, are orthogonal or not.
The two vectors are not orthogonal.
The two vectors are orthogonal.
Vectors can be said to be orthogonal, that is to say perpendicular or normal, if their dot product amounts to zero:
To find the dot product of two vectors given the notation
Simply multiply terms across rows:
For our vectors, and
The two vectors are not orthogonal.
Find the Unit Normal Vector to the given plane.
.
Recall the definition of the Unit Normal Vector.
Let
Find the Unit Normal Vector to the given plane.
.
Recall the definition of the Unit Normal Vector.
Let
Determine whether the two vectors, and
, are orthogonal or not.
The two vectors are orthogonal.
The two vectors are not orthogonal.
Vectors can be said to be orthogonal, that is to say perpendicular or normal, if their dot product amounts to zero:
To find the dot product of two vectors given the notation
Simply multiply terms across rows:
For our vectors, and
The two vectors are orthogonal.
Determine whether the two vectors, and
, are orthogonal or not.
The two vectors are not orthogonal.
The two vectors are orthogonal.
Vectors can be said to be orthogonal, that is to say perpendicular or normal, if their dot product amounts to zero:
To find the dot product of two vectors given the notation
Simply multiply terms across rows:
For our vectors, and
The two vectors are not orthogonal.
Determine whether the two vectors, and
, are orthogonal or not.
The two vectors are orthogonal.
The two vectors are not orthogonal.
Vectors can be said to be orthogonal, that is to say perpendicular or normal, if their dot product amounts to zero:
To find the dot product of two vectors given the notation
Simply multiply terms across rows:
For our vectors, and
The two vectors are orthogonal.
Determine whether the two vectors, and
, are orthogonal or not.
The two vectors are orthogonal.
The two vectors are not orthogonal.
Vectors can be said to be orthogonal, that is to say perpendicular or normal, if their dot product amounts to zero:
To find the dot product of two vectors given the notation
Simply multiply terms across rows:
For our vectors, and
The two vectors are orthogonal.
Determine whether the two vectors, and
, are orthogonal or not.
The two vectors are not orthogonal.
The two vectors are orthogonal.
Vectors can be said to be orthogonal, that is to say perpendicular or normal, if their dot product amounts to zero:
To find the dot product of two vectors given the notation
Simply multiply terms across rows:
For our vectors, and
The two vectors are not orthogonal.
Determine whether the two vectors, and
, are orthogonal or not.
The two vectors are orthogonal.
The two vectors are not orthogonal.
Vectors can be said to be orthogonal, that is to say perpendicular or normal, if their dot product amounts to zero:
To find the dot product of two vectors given the notation
Simply multiply terms across rows:
For our vectors, and
The two vectors are orthogonal.