Understanding, representing and using vectors

• 3a - 2b

• a - 4b

• -2a + 4b

• 2a - 5b

How do you combine vectors if they are at a right angle to each other, and you know two sides?

• Multiply
• Divide
• Pythagorean Theorem
• Use trigonometry

Write $\overrightarrow{MN}$ as the sum of unit vectors for  $M\left(-\frac{3}{4},\ 5,\ \frac{2}{3}\right)$ and  $N\left(6,\ -9,\ \frac{3}{5}\right)$ . 

•  $\frac{27}{4}\overrightarrow{\ i\ }-14\overrightarrow{\ j\ }-\frac{1}{15}\overrightarrow{\ k\ }$  

•  $9\overrightarrow{\ i\ }+\frac{89}{20}\overrightarrow{\ j\ }-\frac{93}{4}\overrightarrow{\ k\ }$  

•  $\frac{21}{4}\overrightarrow{\ i\ }-14\overrightarrow{\ j\ }-\frac{1}{15}\overrightarrow{\ k\ }$  

•  $\frac{27}{4}\overrightarrow{\ i\ }-14\overrightarrow{\ j\ }+\frac{1}{15}\overrightarrow{\ k\ }$  

Which of the following is the standard unit vector, i?

• <0, 1>

• <0, 0>

• <1, 0>

The unit vector in direction of a where a = 3 iറ + 4jറ

• 0.6 i+ 0.8 j

• -0.6 i + 0. 8j

• i + j

• 1

PQRS is a parallelogram where PQ = 2i+5j and RQ = 3i+7j. Find the unit vector in the direction of RP

PQRS ialah sebuah segi empat selari di mana PQ=2i+5j dan RQ=3i+7j. Cari vektor unit dalam arah RP

• 2i+2j

• -1+2j

• i+2j

• 4i-2j