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Home » Two vectors are orthogonal if their dot product is zero: - Londonproperty

Two vectors are orthogonal if their dot product is zero: - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Solving for \(r\), \(r = \frac{C}{2\pi} = \frac{31.4}{2 \times 3.14} = 5\) meters.

📌 #### 51. A train travels 60 miles per hour for 2 hours, then speeds up to 80 miles per hour for the next 3 hours. How far does the train travel in total?

📌 First, calculate the distance traveled at 60 mph:

📌 \(60 \text{ miles/hour} \times 2 \text{ hours} = 120 \text{ miles}\)

📌 Next, calculate the distance traveled at 80 mph:

📌 \(80 \text{ miles/hour} \times 3 \text{ hours} = 240 \text{ miles}\)

📌 Add both distances for the total distance:

📌 \(120 \text{ miles} + 240 \text{ miles} = 360 \text{ miles}\)

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