MAC 2313 Exam #1 questions well answered

MAC 2313 Exam #1 questions well
answered

The magnitude of a vector is the _______________ - ANS ✔✔length of the vector/line segment



The direction of a vector is the __________ - ANS ✔✔direction of the arrow



A negative vector is ______________ - ANS ✔✔just a vector going in the opposite direction



To calculate a vector: ________ point - _________ point - ANS ✔✔terminal point - initial point



To calculate the magnitude of a vector you use the _____________ formula - ANS ✔✔distance



v+w - ANS ✔✔<x1 + x2, y1 + y2, z1 + z2>



v-w - ANS ✔✔<x1 - x2, t1 - y2, z1 - z2>



cv - ANS ✔✔<cx, cy, cz>



(u + v) + w - ANS ✔✔u + (v + w)



v + 0 - ANS ✔✔v



v + (-v) - ANS ✔✔0-vector

, c(u + v) - ANS ✔✔cu + cv



(a+c)v - ANS ✔✔av + cv



0v - ANS ✔✔0-vector



c0 - ANS ✔✔0-vector



1v - ANS ✔✔v



a(c*v*) - ANS ✔✔(ac)*v*



A unit vector is a vector of length _________ - ANS ✔✔one



How d o you calculate a unit vector? - ANS ✔✔vector / magnitude of the vector



a unit vector is written as __________ - ANS ✔✔vector hat ^w



The standard unit vectors are given by:



i = _____________

j = _____________

k= _____________ - ANS ✔✔i = <1, 0, 0>

j = <0, 1, 0>

k= <0, 0, 1>