Unit vector in the xy-plane that makes an angle of 45o wit

Question

Unit vector in the xy-plane that makes an angle of 45o with the vector i + j and an angle of 60o with the vector 3i - 4j is A. i B. 2i C. v2i D. none of the above

SHAIK AASIF AHAMED · Accepted Answer

let the unit vector be of the form ai+bjas it is a unit vector a2+b2=1..............(1)as it is making an angle of 45 with i+jso a+b=1......................(2)from 1 and 2 we get ab=0;also it is making an angle of 60 with 3i-4j3a-4b=2.5.........(3)As there is no equation satisfying 1,2,3 simultaneously there is no such vectorHence D is the correct answer
Thanks and Regards
Shaik Aasif askIITians Faculty

Algebra> Unit vector in the xy-plane that makes an...

Unit vector in the xy-plane that makes an angle of 45o with the vector i + j and an angle of 60o with the vector 3i - 4j is A. i B. 2i C. v2i D. none of the above

Manvendra Singh chahar , 12 Years ago

SHAIK AASIF AHAMED

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Algebra> Unit vector in the xy-plane that makes an...

Unit vector in the xy-plane that makes an angle of 45o with the vector i + j and an angle of 60o with the vector 3i - 4j is A. i B. 2i C. v2i D. none of the above

Manvendra Singh chahar , 12 Years ago

SHAIK AASIF AHAMED

LIVE ONLINE CLASSES

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