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1. Equation of the unit vector along the perpendicular of A ⃗ \vec{A} A B ⃗ \vec{B} B
A. η ^ = ∣ A ⃗ × B ⃗ ∣ A ⃗ × B ⃗ \hat{\eta} = \frac{|\vec{A} \times \vec{B}|}{\vec{A} \times \vec{B}} η ^ = A × B ∣ A × B ∣ B. η ^ = A ⃗ × B ⃗ ∣ A ⃗ × B ⃗ ∣ \hat{\eta} = \frac{\vec{A} \times \vec{B}}{|\vec{A} \times \vec{B}|} η ^ = ∣ A × B ∣ A × B C. η ^ = A ⃗ × B ⃗ ∣ A ⃗ ⋅ B ⃗ ∣ \hat{\eta} = \frac{\vec{A} \times \vec{B}}{|\vec{A} \cdot \vec{B}|} η ^ = ∣ A ⋅ B ∣ A × B D. η ^ = A ⃗ ⋅ B ⃗ ∣ A ⃗ × B ⃗ ∣ \hat{\eta} = \frac{\vec{A} \cdot \vec{B}}{|\vec{A} \times \vec{B}|} η ^ = ∣ A × B ∣ A ⋅ B Tap an answer — the first 3 questions need no account
2. Which value is correct for the unit vector?
A. i ^ × i ^ = 1 \hat{i} \times \hat{i} = 1 i ^ × i ^ = 1 B. i ^ × j ^ = 0 \hat{i} \times \hat{j} = 0 i ^ × j ^ = 0 C. i ^ × j ^ = k ^ \hat{i} \times \hat{j} = \hat{k} i ^ × j ^ = k ^ D. i ^ × i ^ = − 1 \hat{i} \times \hat{i} = -1 i ^ × i ^ = − 1 3. একটি স্লাইড ক্যালিপার্সের মূল স্কেলের 99 ভাগ ভার্নিয়ার স্কেলের 100 ভাগের সমান। ভার্নিয়ার ধ্রুবকের মান কত?
A. 0.01 B. 0.001 C. 0.1 D. 0.0001 4. একক ভেক্টর (Unit vector)-এর ক্ষেত্রে কোন মানটি সঠিক?
A. i ^ × i ^ = 1 \hat{i} \times \hat{i} = 1 i ^ × i ^ = 1 B. i ^ × j ^ = 0 \hat{i} \times \hat{j} = 0 i ^ × j ^ = 0 C. i ^ × j ^ = k ^ \hat{i} \times \hat{j} = \hat{k} i ^ × j ^ = k ^ D. i ^ × i ^ = − 1 \hat{i} \times \hat{i} = -1 i ^ × i ^ = − 1 See the answer 5. A ⃗ \vec{A} A B ⃗ \vec{B} B
A. η ^ = ∣ A ⃗ × B ⃗ ∣ A ⃗ × B ⃗ \hat{\eta} = \frac{|\vec{A} \times \vec{B}|}{\vec{A} \times \vec{B}} η ^ = A × B ∣ A × B ∣ B. η ^ = A ⃗ × B ⃗ ∣ A ⃗ × B ⃗ ∣ \hat{\eta} = \frac{\vec{A} \times \vec{B}}{|\vec{A} \times \vec{B}|} η ^ = ∣ A × B ∣ A × B C. η ^ = A ⃗ × B ⃗ ∣ A ⃗ ⋅ B ⃗ ∣ \hat{\eta} = \frac{\vec{A} \times \vec{B}}{|\vec{A} \cdot \vec{B}|} η ^ = ∣ A ⋅ B ∣ A × B D. η ^ = A ⃗ ⋅ B ⃗ ∣ A ⃗ × B ⃗ ∣ \hat{\eta} = \frac{\vec{A} \cdot \vec{B}}{|\vec{A} \times \vec{B}|} η ^ = ∣ A × B ∣ A ⋅ B See the answer 6. r ⃗ = 3 i ^ + j ^ − k ^ \vec{r} = 3\hat{i} + \hat{j} - \hat{k} r = 3 i ^ + j ^ − k ^ F ⃗ = 2 i ^ − j ^ − k ^ \vec{F} = 2\hat{i} - \hat{j} - \hat{k} F = 2 i ^ − j ^ − k ^
A. 10 unit B. 15 unit C. 100 unit D. 6 unit See the answer 7. একটি পানি পূর্ণ কুয়ার দৈর্ঘ্য 5 m 5\text{ m} 5 m 3 m 3\text{ m} 3 m 10 m 10\text{ m} 10 m 80 % 80\% 80% B T E X ′ 17 − 18 BTEX'17-18 B T E X ′ 17 − 18
A. 10.26 HP 10.26\text{ HP} 10.26 HP B. 6.6 HP 6.6\text{ HP} 6.6 HP C. 8.21 HP 8.21\text{ HP} 8.21 HP D. কোনোটিই নয় See the answer 8. একটি গাড়ি 36 kmhr − 1 36 \text{ kmhr}^{-1} 36 kmhr − 1
A. 7 ms − 1 7\text{ ms}^{-1} 7 ms − 1 B. 20 ms − 1 20\text{ ms}^{-1} 20 ms − 1 C. 54 ms − 1 54\text{ ms}^{-1} 54 ms − 1 D. 14 ms − 1 14\text{ ms}^{-1} 14 ms − 1 See the answer