The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
The tax is $1.253 hope this helps!
8/12 is equivalent to 2/3.
90. Add the zero in front of the 9.
3 gallons on 10 things
Here, we have less things to be distributed than the number of things you distribute to.
Thus: 3/10 gallons.