Question:medium
If \( |a| = 2 \) and \( -3 \leq k \leq 2 \), then \( |a| |k| \in: \)
If \( |a| = 2 \) and \( -3 \leq k \leq 2 \), then \( |a| |k| \in: \)
Show Hint
To find ranges of products, compute the extreme values by multiplying corresponding endpoints.
Updated On: Mar 6, 2026
- \( [-6, 4] \)
- \( [0, 6] \)
- \( [4, 6] \)
- \( [0, 6] \)
Show Solution
The Correct Option is D
Solution and Explanation
Given that \( |a| = 2 \) and \( |k| \in [0, 3] \) (derived from \( k \in [-3, 2] \)), the possible values for \( |a| |k| \) are:\[|a| |k| \in [2 \cdot 0, 2 \cdot 3] = [0, 6].\]
Final Answer: \( \boxed{{(D)}} \)
Final Answer: \( \boxed{{(D)}} \)
Was this answer helpful?
1
Top Questions on Matrix
- Three students run on a racing track such that their speeds add up to 6 km/h. However, double the speed of the third runner added to the speed of the first results in 7 km/h. If thrice the speed of the first runner is added to the original speeds of the other two, the result is 12 km/h. Using the matrix method, find the original speed of each runner.
- Find the value of $x$, if \[ \begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 & 1 \\ 15 & 3 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ x \\ 2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix} \]
- If A and B are two square matrices of the same order, then (A + B)(A - B) is equal to:
- If the matrix \[ \begin{bmatrix} 1 & 12 & 4y \\ 6x & 5 & 2x \\ 8x & 4 & 6 \end{bmatrix} \]
is a symmetric matrix, then the value of \( 2x + y \) is: - Want to practice more? Try solving extra ecology questions todayView All Questions
