14.1 Vectors in Two Dimensions

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Presentation transcript:

14.1 Vectors in Two Dimensions

When a<-6, 3> and b<10, 7>, Without calculator Question 1, NC When a<-6, 3> and b<10, 7>, -a+2b=? a) <2, 14> b) <26, 11> c) <-16, 12> d) <14, -3> e) <-2, 14> -a = - <-6, 3> = < 6, -3> 2b = 2<10, 7> = <20, 14> -a+2b=<6, -3>+<20, 14> = <26, 11>

Without calculator Question 2, NC Which of the following vectors has the opposite direction of a=7i-4j ? a) <7, -4> b) a=7i+4j c) <-7, -4> d) a=-7i+4j e) <4, -7> Vector a: a=7i-4j OR <7, -4> Opposite of Vector a: -a=-7i+4j OR <-7, 4>

Without calculator Question 3, NC Which vector has a magnitude of 13 that has the opposite direction of <-2.5, 6> ? a) <2.5, -6> b) <-10, 12> c) <5, -12> d) <-2.5, 10> e) <-5, 16> Opposite of <-2.5, 6>: <2.5, -6> Magnitude of <-2.5, 6>: