Find the Values Of $x$ Such That the Vectors $( 2 x , x , 5 )$

question 91

Multiple Choice

Find the values of $x$ such that the vectors $( 2 x , x , 5 )$ and $( 4 , x , 3 )$ are orthogonal. Select the correct answer.

• A) \(x = - 5 , x = - 3\)
• B) \(x = 5 , x = - 5\)
• C) \(x = - 5 , x = 3\)
• D) \(x = 3 , x = - 3\)
• E) \(x = 5 , x = 3\)

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Definitions:

Compounded Monthly

A process where interest is calculated and added to the principal sum of a loan or deposit each month.

Mortgage

A loan secured by real property, typically used to purchase that property, where the borrower agrees to make payments to the lender over a set period.

Compounded Monthly

Interest is calculated and added to the total amount on a monthly basis, leading to faster growth due to more frequent compounding periods.

Present Value

The current assessment of a future sum of money or cash flows, given a designated return rate.