Find the unit vector in the direction of the sum of vectors a = 2î + 2ĵ − 5k̂ and b = 2î + ĵ + 3k̂. A. (4î + 3ĵ − 2k̂)/√29 B. (4î + 3ĵ − 2k̂)/√25 C. (î + ĵ − k̂)/√3 D. (4î + 3ĵ + 2k̂)/√29 Answer: A) (4î + 3ĵ − 2k̂)/√29 Explanation: Sum c = a + b = (2+2)î + (2+1)ĵ + (−5+3)k̂ = 4î + 3ĵ − 2k̂. Magnitude |c| = √(16 + 9 + 4) = √29. Unit vector is (4î + 3ĵ − 2k̂)/√29.

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Find the unit vector in the direction of the sum of vectors a = 2î + 2ĵ − 5k̂ and b = 2î + ĵ + 3k̂.

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#IMO #Class 12 #Mathematics #Vector Algebra #mathematical-reasoning

Find the unit vector in the direction of the sum of vectors a = 2î + 2ĵ − 5k̂ and b = 2î + ĵ + 3k̂.

A. (4î + 3ĵ − 2k̂)/√29
B. (4î + 3ĵ − 2k̂)/√25
C. (î + ĵ − k̂)/√3
D. (4î + 3ĵ + 2k̂)/√29

Answer: A) (4î + 3ĵ − 2k̂)/√29

Explanation: Sum c = a + b = (2+2)î + (2+1)ĵ + (−5+3)k̂ = 4î + 3ĵ − 2k̂. Magnitude |c| = √(16 + 9 + 4) = √29. Unit vector is (4î + 3ĵ − 2k̂)/√29.

Find the unit vector in the direction of the sum of vectors a = 2î + 2ĵ − 5k̂ and b = 2î + ĵ + 3k̂.

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