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∥

b

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3