Created on 2024-06-20Asked by Eleanor Wright (Solvelet student)
Show that the vectors u=(1,2,−3) and v=(2,−1,1) are orthogonal.
Solution
To show that the vectors u=(1,2,−3) and v=(2,−1,1) are orthogonal, compute their dot product: 1. Calculate the dot product u⋅v: u⋅v=(1)(2)+(2)(−1)+(−3)(1). 2. Simplify: u⋅v=2−2−3=−3. Since the dot product is not zero, the vectors u and v are not orthogonal. Solved on Solvelet with Basic AI Model
Some of the related questions asked by Abigail Jones on Solvelet
DefinitionProperty of vectors being perpendicular, whose dot product is 0. Meaning if we take the average of the two functions on a given interval that the integral is 0. Examples : Vector a=(1,0) and b=(0,1) are orthogonal as a⋅b = 0.
