Vectors

 $If\ \overrightarrow{P\ }\cdot\overrightarrow{Q\ }=\ \left|\overrightarrow{P}\times\overrightarrow{Q}\right|$  , the angle between  $\overrightarrow{P\ }\ and\ \ \overrightarrow{Q}$  is

• 0

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $\pi$  

A person walks first 10 km north and 20 km east, then the resultant vector is

• 22.36km

• 22.46 km

• 22.36

• 20.36 km

A vector A of magnitude  $5\ \sqrt{3}$  units , another vector B of  magnitude 10 units are inclined at an angle of  $30\degree$  . The magnitude of vector product of the two vectors is  

•  $5\sqrt{3}\ units$  

• 10 units

•  $25\ \sqrt{3}\ units$  

• 75 units

 $At$ what angle do the two forces  $\overrightarrow{A}\ +\ \overrightarrow{B}\ and\ \overrightarrow{A}\ -\ \overrightarrow{B}$  act so that their resultant is  $\sqrt{3\ A^2+B^2}$  ?

A velocity of 20 m/s has its X-component 12m/s. What is its y- component?

What is the angle between  $\left(\overrightarrow{A}\ +\overrightarrow{B}\right)\ and\ \overrightarrow{A}\ \times\ \overrightarrow{B\ }\$  ?

Commutative law is obeyed by

• Scalar Product of vectors

• Vector Product of vectors

• Both of them

• none of them

2 forces: 32N and 45 N with angle between of 35 deg. Determine the magnitude of the resultant.

• 5408.2

• 26.3

• 689.8

• 73.5

Write the vector from A to D...

• a + b

• -a + b

• b - a

• a - b

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

Write the vector from A to D...

• x + y + z

• x - y + z

• -x + y + z

• x - y - z