If w is a subspace of r" and if is in both w and w, then must be the zero vector in the orthogonal decomposition theorem, each term in y is itself an orthogonal projection of f onto a subspace of w. lf у z1 +z2, where ź1 is in a subspace w and z2 is in w , then z1 must be the orthogonal projection of y onto w the best approximation to y by elements of a subspace w is given by the vector y-projwy. if an n p matrix u has orthonormal columns, then uutx= for all x in rn

answer: point c: b. 1/2 potential, 1/2 kinetic, point a: 3/4 of its potential energy, point d or b: 3/4 potential, 1/4 kinetic

explanation: i cant explain. it's difficult to explain.

as a general rule, scissors have blades less than 6 in (15 cm) long and usually have handles with finger holes of the same size. shears have blades scissors used to cut hair or fabric must be much sharper

c)as speed changes, wavelength and frequency change.

everything changes!

pe = weightxheight = 2000x1000=2,000,000joules