Chapter 4, Problem 4MCQ

To determine

Tofind:the unknown side and angle of the right- angle triangle.

Answer to Problem 4MCQ

The side $\text{a}$ is equals to $\text{1}\text{.71}$ , $\text{c=}3.45$ and $\angle \text{B}={60}^0$ .

Explanation of Solution

Given:

  $\text{A=}\left[\begin{array}{c}4\\ \text{-5}\\ -3\end{array}\begin{array}{c}3\\ \text{1}\\ 7\end{array}\right]$ , $\text{B=}\left[\begin{array}{ccc}1& -9& 2\\ 0& 10& 4\end{array}\right]$ .

Concept used:

The number of rows and the columns that a matrix has is called dimension or its order denoted by $\text{row}\times \text{column}$ .

Dimension of the matrix:

  $\text{row}\times \text{column}$ .

Calculation:

  $\text{A=}\left[\begin{array}{c}4\\ \text{-5}\\ -3\end{array}\begin{array}{c}3\\ \text{1}\\ 7\end{array}\right]$ , $\text{B=}\left[\begin{array}{ccc}1& -9& 2\\ 0& 10& 4\end{array}\right]$ .

  ${\text{a}}_{\text{11}}$ = position number one first row and first column. So, the two digits number below shows the position of the row and the column specifically first digit from the left shows the rows and second digit shows column.

The number of rows and the columns that a matrix has is called dimension or its order denoted by $\text{row}\times \text{column}$ .

Since, the given matrices $\text{A}$ has 3 row and 2 columns and $\text{B}$ has matrices 2 rows and 3 columns.

Hence, the dimension of matrices of $\text{A}$ is $3\times 2$ and dimension matrices of $\text{B}$ is $2\times 3$ .