) A subspace V of R 3 such that dim V ⊥ = 1. (2) A subspace V of R 3 such that dim V ⊥ = 2. (3) A subspace V of R 4 such that dim V = 2 and dim V ⊥ = 2. 2. True or false? All vectors below are in R n for some n. If your answer is "True", explain why. If your answer is "False", give a counterexample. (1) If W is a subspace of R n , then W and W⊥ have no vectors in common.

Tabby sells clothing at a retail store, and she earns a commission of 6.25% on all items she sells. last week she sold a pair of jeans for $32.50, a skirt for $18.95, and 2 blouses for $14.95 each. what was tabby's total commission? a $4.15 b $5.08 c $81.35 d $348.60

What is 1.5% of 120 or what number is 1.5% of 120

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations