For 𝐮,𝐯 ∈ ℝ𝑛, we have ‖𝐮−𝐯‖≤‖𝐮+𝐯‖.
The dot product of two vectors is a vector.
For 𝐮,𝐯∈ℝ𝑛, we have ‖𝐮−𝐯‖≤‖𝐮‖+‖𝐯‖.
A homogeneous system of linear equations with more equations than variables will always have at least one parameter in its solution.
Given a non-zero vector 𝐯, there exist exactly two unit vectors that are parallel to 𝐯.
My answers were
- FALSE because if we assumed that a= (-1,-2) and b= (3,4) it would make the statement false
- FALSE because the dot product of 2 vectors is a scalar
- FALSE this would have the same assumption as for question 1
- FALSE I am not sure
- TRUE I am not sure
I am not sure which one of my answers is/are wrong