Calculate the dot product of vectors A = [6, 5, 2] and B = [1, 9, 4].

April 20, 2026Mathematics

ScanSolve AI Answer

April 20, 2026

Answer

Step 1: Identify the given vectors. The two vectors are $\mathbf{A} = \begin{bmatrix} 6 \\ 5 \\ 2 \end{bmatrix}$ and $\mathbf{B} = \begin{bmatrix} 1 \\ 9 \\ 4 \end{bmatrix}$ .

Step 2: Calculate the dot product. The dot product of two vectors is found by multiplying corresponding components and summing the results. $A \cdot B = (6)(1) + (5)(9) + (2)(4)$

Step 3: Perform the multiplication and addition. $A \cdot B = 6 + 45 + 8$ $A \cdot B = 51 + 8$ $A \cdot B = 59$

The dot product is $\boxed{59}$ .

Send me the next one 📸

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

More Mathematics Questions

QThe pie chart below shows how Mr. Brown spent his salary in the month of January, 2010. He spent GHC…QDetermine the mode of the data set and explain why that value is referred to as a mode.QUsing Product rule, find the derivatives of the following functions: (i) y = (3x2+2)(5x-3). (ii) y =…QWork out 5/5, r. Determine the equation of A(6,4) B(2,0)Q1 Mr Mabuza resides in Mount Frere and the following tariffs were taken from the municipal budget to…

See all Mathematics questions →

Still have questions?

Quick Answer

Identify the given vectors. The two vectors are A = 6 \\ 5 \\ 2 and B = 1 \\ 9 \\ 4 .

Asked on April 20, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 20, 2026

Step 1: Identify the given vectors. The two vectors are A = 6 \\ 5 \\ 2 and B = 1 \\ 9 \\ 4 . Step 2: Calculate the dot product. The dot product of two vectors is found by multiplying corresponding components and summing the results. A · B = (6)(1) + (5)(9) + (2)(4) Step 3: Perform the multiplication and addition. A · B = 6 + 45 + 8 A · B = 51 + 8 A · B = 59 The dot product is 59. Send me the next one 📸