Vector Algebra
Vector Magnitude
Grade 12
Question:
<p><strong>Ex. 54</strong> The ratio \(PQ : DB\) is equal to</p>
<p>(a) \(\frac{2}{3}\)</p>
<p>(b) \(\frac{1}{3}\)</p>
<p>(c) \(\frac{1}{2}\)</p>
<p>(d) \(\frac{3}{4}\)</p>
Step-by-Step Solution
Key Concept: Calculate the length PQ using the positions of P and Q on diagonal BD, then form the ratio with DB.
Solution: From the results of Ex. 52 and 53, \(PQ = \frac{1}{2}DB\), therefore \(PQ : DB = 1 : 2\).
Correct Answer: C