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Home » Two vectors are orthogonal if their dot product is zero. Compute the dot product: - Crankk.io

Two vectors are orthogonal if their dot product is zero. Compute the dot product: - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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\tan^2 x + \cot^2 x = t^2 - 2
+ (t^2 - 2) + 2t = t^2 + 2t + 1 = (t + 1)^2
Now, $ t = \tan x + \cot x \geq 2 $ by AM-GM, with equality when $ \ta...
So minimum occurs at $ t = 2 $, giving:
$$Question: A right triangular solar panel on a spacecraft has a hypot...
SQuestion: A quantum sensing device is positioned at the center of a s...
Solution: The area of the entire spherical tumor (modeled as a circle...
A_{\text{tumor}} = \pi \cdot 6^2 = 36\pi \text{ cm}^2
The area where the device is operational is a smaller circle of radius...
A_{\text{operational}} = \pi \cdot 3^2 = 9\pi \text{ cm}^2

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