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î and ĵ are unit vectors. An angle of 1200 exists between vectors u and where u = 5î and v = 2ĵ. Determine the magnitude and direction of u + v. (5 marks)

î and ĵ are unit vectors. An angle of 1200 exists between vectors u and where u = 5î and v = 2ĵ. Determine the magnitude and direction of u + v. (5 marks)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#2 Given 1,3 - and are unit vectors J = 51 ✓ = 25 -7Angle between 2 and is 120 Now, U + V 251 +25 5î Magnitucle of 2 + 2 = 10 + 7 ) = 15↑ + 2₁1 =√5² +2² = √25 +4 = √29 Magnitude is £29, and the 5₂ ^ + 3/2a J direction is J29 U + V Unit vector in direction of (+7)=√1 = =5²1 +23 √29 = 5 î+ 2 J29 529
Transcribed Image Text:#2 Given 1,3 - and are unit vectors J = 51 ✓ = 25 -7Angle between 2 and is 120 Now, U + V 251 +25 5î Magnitucle of 2 + 2 = 10 + 7 ) = 15↑ + 2₁1 =√5² +2² = √25 +4 = √29 Magnitude is £29, and the 5₂ ^ + 3/2a J direction is J29 U + V Unit vector in direction of (+7)=√1 = =5²1 +23 √29 = 5 î+ 2 J29 529
î and ĵ are unit vectors. An angle of 120° exists between vectors ū and where u 2ĵ. Determine the magnitude and direction of u + v. (5 marks) = 5î and v=
Transcribed Image Text:î and ĵ are unit vectors. An angle of 120° exists between vectors ū and where u 2ĵ. Determine the magnitude and direction of u + v. (5 marks) = 5î and v=
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