Assume that ||v|| = 2 and ||w|| = 3, and the angle between v and w is 120 degrees. determine: (a) v·w
(b) ∥2v+w∥
(c) ∥2v−3w∥

Step-by-step explanation:

Given that  ||v|| = 2 and ||w|| = 3, and the angle between v and w is 120 degrees

We know by definition of dot product and properties that

where t is the angle between them

Using this we find

(a) v·w  =

(b) ∥2v+w∥

(c) ∥2v−3w∥

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

angle addition postulate

2x=56

step-by-step explanation: