It's easy enough to check your answers to see if they're correct.Success said:Homework Statement
Find two vectors v and w that are perpendicular to (1, 0, 1) and to each other.
Homework Equations
I know that to be perpendicular, the dot product must be 0. So (1, 0, 1)*(x, y, z)=x+z=0 and x=z=0, y=1, therefore, v=[0, 1, 0]. w=[-1, 0, 1].
The Attempt at a Solution
Are my answers right for v and w? Can someone right the answer for me? I just want to see how the answer looks like.
A perpendicular vector is a vector that forms a 90 degree angle with another vector in a three-dimensional space.
To find the perpendicular vector for a given vector, you can use the cross product or dot product method. In the cross product method, you take the cross product of the given vector and any other vector in the same plane. In the dot product method, you take the dot product of the given vector and any other vector in a different plane.
The steps to find the perpendicular vector using the cross product method are as follows:
To find the perpendicular vector using the dot product method, follow these steps:
Sure, let's find the perpendicular vector for the vector (1, 0, 1) using the cross product method. We can choose the vector (0, 1, 0) as our second vector. Taking the cross product, we get the vector (0, 1, 0) x (1, 0, 1) = (1, 0, -1). This vector is perpendicular to (1, 0, 1) and (0, 1, 0).