Mathematics

Mathematics

Problem

Consider the vector A⃗=4 i^−2 j^+4 k^\vec A = 4\,\hat i - 2\,\hat j + 4\,\hat k. Choose the ordered pair (θ, ϕ)(\theta,\,\phi) that correctly gives its azimuth angle θ\theta measured from the positive xx-axis in the xyxy-plane (0∘≤θ<360∘0^\circ \le \theta < 360^\circ) and its elevation angle ϕ\phi above the xyxy-plane (−90∘≤ϕ≤90∘-90^\circ \le \phi \le 90^\circ). a) (153∘, 42∘)(153^\circ,\,42^\circ) b) (333∘, −42∘)(333^\circ,\,-42^\circ) c) (333∘, 42∘)(333^\circ,\,42^\circ) d) (333∘, 34∘)(333^\circ,\,34^\circ)

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