CUET · MATHS · PYQ PAPER 2025
The length of the line segment joining the points with position vectors \(2 \hat{i}-2 \hat{j}+3 \hat{k}\) and \(5 \hat{i}+2 \hat{j}+3 \hat{k}\) is :
- A 2
- B 3
- C 6
- D 5
Answer & Solution
Correct Answer
(D) 5
Step-by-step Solution
Detailed explanation
Let \(\vec{a} = 2 \hat{i}-2 \hat{j}+3 \hat{k}\) and \(\vec{b} = 5 \hat{i}+2 \hat{j}+3 \hat{k}\). Vector \(\vec{AB} = \vec{b} - \vec{a} = (5-2) \hat{i} + (2-(-2)) \hat{j} + (3-3) \hat{k} = 3 \hat{i} + 4 \hat{j}\). Length…
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