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Home » Thus, the area of the shaded region is \(\boxed100 - 25\pi\) square centimeters. - Silent Sales Machine

Thus, the area of the shaded region is \(\boxed100 - 25\pi\) square centimeters. - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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From the third equation, $v_2 = 6 + 2v_1$. Substituting into the first...
2v_3 - 3(6 + 2v_1) = 4 \implies 2v_3 - 18 - 6v_1 = 4 \implies 2v_3 = 2...
Substitute $v_3$ into the second equation:
3v_1 - (11 + 3v_1) = 5 \implies -11 = 5, \text{ which is a contradicti...
However, the condition $\mathbf{v} \cdot \mathbf{a} = 0$ implies $v_1...
v_1 + 2(6 + 2v_1) + 3(11 + 3v_1) = 0 \implies v_1 + 12 + 4v_1 + 33 + 9...
Then $v_2 = 6 + 2(-\frac{45}{14}) = \frac{84 - 90}{14} = -\frac{6}{14}...
Thus, $\mathbf{v} = \left\langle -\frac{45}{14}, -\frac{3}{7}, \frac{1...
Verification: Cross product and dot product conditions are satisfied.
\boxed{\left\langle -\dfrac{45}{14}, -\dfrac{3}{7}, \dfrac{19}{14} \ri...

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