SOLUTION: If vector W is a non-zero, two-dimensional vector, how many unit vectors are there that are orthogonal (perpendicular) to vector W?

Algebra.Com
Question 1142348: If vector W is a non-zero, two-dimensional vector, how many unit vectors are there that are orthogonal (perpendicular) to vector W?
Answer by ikleyn(52868)   (Show Source): You can put this solution on YOUR website!
.

If all that is described in this post happens on 2D plane, than there are two and exactly two unit vectors perpendicular to the given vector.


RELATED QUESTIONS

Let x and y be vectors in R^4 with {x,y} being linearly independent. Prove that there... (answered by richard1234)
A vector w , with a magnitude 250 km/h has a bearing of 70 degrees. a) Resolve the... (answered by josgarithmetic)
if 'a' and 'b' both are unit vectors then how it is possible that 'a+b' is also a unit... (answered by tommyt3rd)
A vector w , with a magnitude 250 km/h has a bearing of 70 degrees. a) Resolve the... (answered by josgarithmetic)
Show that vectors a and b are perpendicular. Vector a Vector b (2) (4) (answered by jim_thompson5910)
Which vector is perpendicular to both vectors A and... (answered by ikleyn)
Let a and b are vectors such that Vector a = (1,1,2) Vector b = (2,-1,1) And let... (answered by Fombitz)
Given that the vectors, a and b are non-parallel and (2p -1)a = (q+2)b , find the value... (answered by ikleyn)
Let v1 and v2 be non zero vectors in a vector space V. Show that the following statements (answered by robertb)