Consider a set S1 = x = (x1, x2, x3)^T in R^3 mid x^Tx le 16. Let S2 be another set which is a subspace of R^3 with dimension two. Which of the following gives the area of S1 cap S2?

Q22Section DA (Data Science and Artificial Intelligence (Q11–Q65))22 of 65

Area of a ball intersected with a 2D subspace

Consider a set $S_1 = \{x = (x_1, x_2, x_3)^T \in \mathbb{R}^3 \mid x^Tx \le 16\}$ . Let $S_2$ be another set which is a subspace of $\mathbb{R}^3$ with dimension two. Which of the following gives the area of $S_1 \cap S_2$ ?

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