True/False: The set of vectors, is orthogonal.
Two vectors are orthogonal iff their dot product is zero.
True/False: The set of vectors, is orthogonal.
Two vectors are orthogonal if and only if their dot product is zero.
True/False: An orthogonal basis for a subspace of is a basis for that is also an
orthogonal set.
If is a basis for , then for any in , can be written as a linear combination
of . Given the vectors and below, compute the coefficients in the linear
combination.
. (Simplify fractions as much as possible.)
Let and . Find the orthogonal projection of onto .
First, find , then find .
Then the orthogonal projection of onto is .
Let be the line through and . The orthogonal projection of onto (or the
orthogonal projection of onto ) is
True/False: Not every orthogonal set in is linearly independent.
True/False: Every orthogonal set of non-zero vectors in is linearly independent.
What is the definition of an orthonormal set?
An orthogonal set that is linearly independent An orthogonal basis A basis
consisting only of unit vectors An orthogonal basis consisting only of unit vectors An
orthogonal set consisting only of unit vectors