Question:

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: Jan 29, 2025
  • \( [-6, 4] \)
  • \( [0, 6] \)
  • \( [4, 6] \)
  • \( [0, 6] \)
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

Since \( |a| = 2 \) and \( |k| \in [0, 3] \) (from \( k \in [-3, 2] \)), the range of \( |a| |k| \) is: \[ |a| |k| \in [2 \cdot 0, 2 \cdot 3] = [0, 6]. \]
Final Answer: \( \boxed{{(D)}} \)
Was this answer helpful?
0
0

Top Questions on Matrix

View More Questions