Mathematics 1229A/B Lecture Notes - Lecture 2: If And Only If, Unit Vector

• School: Western University
• Department: Mathematics
• Course: Mathematics 1229A/B
• Professor: Vicki Olds

Document Summary

The vector whose components are all zeros. Vectors (cid:1873) and (cid:1874) are equal iff all of their corresponding components are equal (same x- In each of the following, find the values of the unknows if possible, for which (cid:1873) = (cid:1874: (cid:1873) = (a, 2) and (cid:1874) = (b, 6b) 2nd comp: 2 = 6b b= (cid:2870)(cid:2874) = (cid:2869)(cid:2871: (cid:1873) = (a, 2) and (cid:1874) = (-1, b, 0) (cid:1873) is in (cid:2870) but (cid:1874) is in (cid:2871), so (cid:1873) cannot equal (cid:1874) For any 2 vectors, (cid:1873) and (cid:1874) in the same space, the distance between (cid:1873) and (cid:1874) is the. The magnitude or length of a vector (cid:1873) , written (cid:1873) is defined to be the distance from i. e. the distance between (cid:882) and the (cid:1873) . Find the distance between (cid:1873) = (1,2) and (cid:1874) = (4, -2) d((cid:1873) , (cid:1874) ) = (cid:4666)(cid:886) (cid:883)(cid:4667)(cid:2870)+(cid:4666) (cid:884) (cid:884)(cid:4667)(cid:2870)