Question
What is the unit vector in the direction of vector
P=2i+3j-5k
P=2i+3j-5k
Answers
GPT 3.5
To find the unit vector in the direction of vector P, we need to divide vector P by its magnitude.
The magnitude of a vector P = 2i + 3j - 5k is given by the formula:
|P| = √(2^2 + 3^2 + (-5)^2)
|P| = √(4 + 9 + 25)
|P| = √38
Now, we can calculate the unit vector in the direction of vector P by dividing each component of P by the magnitude of P:
Unit vector = (2/√38)i + (3/√38)j + (-5/√38)k
The magnitude of a vector P = 2i + 3j - 5k is given by the formula:
|P| = √(2^2 + 3^2 + (-5)^2)
|P| = √(4 + 9 + 25)
|P| = √38
Now, we can calculate the unit vector in the direction of vector P by dividing each component of P by the magnitude of P:
Unit vector = (2/√38)i + (3/√38)j + (-5/√38)k