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)
Answer: 3
Step-by-step explanation:
Answer:
Her new balance = - 92.34
Step-by-step explanation:
First find out what the check did.
She had $63.44 in her account. Her check caused her to be in the whole
63.44 - 186.56 = -123.12
Now she deposited 1/4 of that amount.
- 123.12 + (1/4)(123.12) = - 123.12 + 30.78
Her new balance = - 92.34
