test","extracted_subject":"PHYSICS","extracted_chapter":"VECTOR ( JEE )","extracted_topic":"MULTIPLICATION OF VECTORS","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_915.png?top_left_x=1064&top_left_y=809&width=532&height=286&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23ca270136192204c17f2","slug":"rain-in-falling-vertically-with-3mssup-1hsup-and-a","content":"Rain in falling vertically with 3ms^-1h and a man is moving due North with 4ms^-1. In which direction he should hold the umbrella to protect himself from rains?","options":[{"_id":"68a3cce57f15af4716c384f8","text":"37⁰ North of vertical","sequence":0,"isCorrect":false},{"_id":"68a3cce57f15af4716c384f9","text":"37⁰South of vertical","sequence":1,"isCorrect":false},{"_id":"68a3cce57f15af4716c384fa","text":"53⁰ North of vertical","sequence":2,"isCorrect":true},{"_id":"68a3cce57f15af4716c384fb","text":"53⁰South of vertical","sequence":3,"isCorrect":false}],"correct_answer":"53⁰ North of vertical","explanation":"V_m = V_t – V_m = -3\\(\\widehat{k}\\) - 4\\(\\widehat{j}\\);\n\ntanβ = 4/3 ⇒ β = 53^o North of vertical.","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:41:54.274Z","__v":0,"vector_store_id":"ca2f9e49-3123-4669-b160-b928c82cd00f","updated_at":"2024-08-30T21:41:54.274Z","isStarred":false},"params":{"questionSlug":"rain-in-falling-vertically-with-3mssup-1hsup-and-a"}}]}]]

Question: Rain in falling vertically with 3ms<sup>-1h</sup> and a man is moving due North with 4ms<sup>-1</sup...

Solution