Vectors

A vector has its tail at the point (1, 3) and its tip at the point (7, 4). Write the vector in component form.

A vector has its tail at the point (0, 5) and its tip at the point (1, 1). Write the vector in component form.

A vector has its tail at the point (-3, -6) and its head at the point (3, -1). Write the vector in component form

A vector has its tail at the point (-10, -8) and its head at the point (-1, -2). Write the vector in component form

Challenge Question!

A vector has its tail at the point (1, 2, 3) and its head at the point (3, 2, 1). Write the vector in component form

A=<6, -2>

Find -3A

V=<13, 11>

Find 2V

A=<16, -12>

Find $$\frac{1}{2}A$$  

Challenge Question!

A=<27, 18, 9>

Find $$\frac{1}{3}A$$  

A=<2, 7> B=<3, 3>

Find A+B

A=<1, 8> B=<-4, -9>

Find 3A+B

What is the length of this vector?

What is the direction angle of this vector?

What is the x-component of this vector?

What is the y-component of this vector?

A vector has magnitude 36 and direction angle 15 $$\degree$$  

What is the x-component of the vector?

A vector has magnitude 36 and direction angle 15 $$\degree$$  

What is the y-component of the vector?

A vector has magnitude 114 and direction angle 30 $$\degree$$  

What is the x-component of the vector?

A vector has magnitude 114 and direction angle 30 $$\degree$$  

What is the y-component of the vector?

A vector has magnitude 56 and direction angle 95 $$\degree$$  

What is the x-component of the vector?

A vector has magnitude 56 and direction angle 95 $$\degree$$  

What is the y-component of the vector?

Do you like this method of practice/review, and should we do one of these tomorrow on Systems of Equations?