1. 14.1 Vectors in Two Dimensions

2. 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>

3. 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>

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>: