g find the 2 components of vector b = 2i + j - 3k, one parallel to a = 3i - j and another one perpendicular to a

The components of parallel and perpendicular to are and , respectively.

Step-by-step explanation:

Let be and , the component of parallel to is calculated by the following expression:

Where is the unit vector of , dimensionless and is the operator of scalar product.

The unit vector of is:

Where is the norm of , whose value is determined by Pythagorean Theorem.

The component of parallel to is:

Now, the component of perpendicular to is found by vector subtraction:

If and , then:

the correct answer is $7.38

step-by-step explanation: