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Home » Distancia a 60 km/h = \(60 \times 2 = 120\) km - Parker Core Knowledge

Distancia a 60 km/h = \(60 \times 2 = 120\) km - Parker Core Knowledge

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 angle$ and $\mathbf{b} = \langle 4, 5, 6

📌 Solution: The vector equation $\mathbf{v} imes \mathbf{a} = \mathbf{b}$ has a solution only if $\mathbf{a} \cdot \mathbf{b} = 0$, since the cross product is perpendicular to $\mathbf{a}$.

📌 \mathbf{a} \cdot \mathbf{b} = 1(4) + 2(5) + 3(6) = 4 + 10 + 18 = 32

📌 Since the dot product is not zero, there is **no** vector $\mathbf{v}$ such that $\mathbf{v} imes \mathbf{a} = \mathbf{b}$. The equation is inconsistent.

📌 oxed{ ext{No such vector } \mathbf{v} ext{ exists}}

📌 Question: Find all angles $z \in [0^\circ, 360^\circ]$ that satisfy $\sin(2z) = \cos(z)$.

📌 Solution: Use identity $\sin(2z) = 2\sin z \cos z$. So:

📌 2\sin z \cos z = \cos z.

🔥 Popular Posts

We seek the smallest three-digit integer \( D \) such that:
\( D^3 \equiv 1 \pmod{9} \), and
\( D \not\equiv 1 \pmod{9} \)
0^3 &= 0 \\
1^3 &= 1 \\
2^3 = 8 \\
3^3 = 27 \equiv 0 \\
4^3 = 64 \equiv 1 \pmod{9} \quad (64 - 63 = 1) \\
5^3 = 125 \equiv 125 - 13\times9 = 125 - 117 = 8 \\
6^3 = 216 \equiv 0 \\

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