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Home » Now compute the scalar multiplier: - Feedz API

Now compute the scalar multiplier: - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 The dot product is always zero, regardless of \(x\). Hence, the vectors are orthogonal for all \(x\).

📌 Thus, the solution is all real numbers \(x\), and the answer can be expressed as \(\boxed{\text{All } x \in \mathbb{R}}\).

📌 Find the sum of all angles \(z \in [0^\circ, 360^\circ]\) that satisfy \(\sin z + \cos z = 1\).

📌 We solve \(\sin z + \cos z = 1\) for \(z \in [0^\circ, 360^\circ]\).

📌 Square both sides:

📌 + 2\sin z \cos z = 1 \Rightarrow 2\sin z \cos z = 0 \Rightarrow \sin 2z = 0

📌 So, \(2z = 0^\circ, 180^\circ, 360^\circ, 540^\circ, \ldots\), giving:

📌 z = 0^\circ, 90^\circ, 180^\circ, 270^\circ, 360^\circ

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