- #1
anantchowdhary
- 372
- 0
Homework Statement
there are two vectors a and b
a=3i+2j+k
b=2i+j+2k
Find the unit vector perpendicular to a and b
Homework Equations
| A|^a=A
The Attempt at a Solution
I don't kno how to start
Do you know the properties of vector (cross) product ?anantchowdhary said:Homework Statement
there are two vectors a and b
a=3i+2j+k
b=2i+j+2k
Find the unit vector perpendicular to a and b
Homework Equations
| A|^a=A
The Attempt at a Solution
I don't kno how to start
A unit vector is a vector with a magnitude of 1 and is often used to represent direction in a vector space.
To find the unit vector perpendicular to two given vectors, you can use the cross product. The resulting vector will be perpendicular to both original vectors and will have a magnitude of 1.
Yes, there can be more than one unit vector perpendicular to a and b. This is because the cross product will only give you one vector, but you can also use the dot product to find other unit vectors that are perpendicular to a and b.
Finding the unit vector perpendicular to two given vectors is important because it allows you to represent the direction of one vector relative to the other. It is also useful in many mathematical and scientific applications, such as calculating torque and determining the orientation of objects in space.
Yes, the unit vector perpendicular to a and b can have a negative direction. This is because the direction of a vector is defined by both its magnitude and its direction, and the unit vector only has a magnitude of 1.