Question
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Answer (Detailed Solution Below)
Option 3 : 85.8 degrees / 85.8 डिग्री
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Detailed Solution
सही उत्तर 85.8 degrees / 85.8 डिग्री है।
Key Points
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prepsnap.in • Part -AQuestion:
For vectors $\vec{A} = 3\hat{i} + 4\hat{j}$ and $\vec{B} = 2\hat{i} - \hat{j} + 5\hat{k}$, the angle between them is closest to: / सदिशों $\vec{A} = 3\hat{i} + 4\hat{j}$ और $\vec{B} = 2\hat{i} - \hat{j} + 5\hat{k}$ के बीच का कोण निकटतम है:
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60 degrees / 60 डिग्री
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90 degrees / 90 डिग्री
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85.8 degrees / 85.8 डिग्री
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4.2 degrees / 4.2 डिग्री
Correct Answer: 85.8 degrees / 85.8 डिग्री
$\vec{A}\cdot\vec{B} = 6 - 4 = 2$, $|\vec{A}| = 5$, $|\vec{B}| = \sqrt{30}$, so $\cos\theta = 2/(5\sqrt{30}) \approx 0.073$ and $\theta \approx 85.8^\circ$. / $\vec{A}\cdot\vec{B} = 6 - 4 = 2$, $|\vec{A}| = 5$, $|\vec{B}| = \sqrt{30}$, अतः $\cos\theta = 2/(5\sqrt{30}) \approx 0.073$ तथा $\theta \approx 85.8^\circ$।
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