Last updated at Dec. 24, 2019 by Teachoo

Transcript

Misc 1 Write down a unit vector in XY-plane, making an angle of 30 with the positive direction of x-axis. Let the unit vector be We know that = + y + z Since the vector is in X-Y plane, there is no z coordinate. Hence, = x + y + 0 = + y Unit vector in direction of x axis is & in y axis is Given that makes an angle of 30 with x-axis So, angle between & is 30 Now, we know that, . = cos , Putting = , = & = 30 . = cos 30 . = 1 1 3 2 . = 3 2 ( + y + 0 ). = 3 2 ( + y + 0 ). (1 + 0 + 0 ) = 3 2 .1 + y.0 + 0.0 = 3 2 = Similarly, makes an angle of 60 with y-axis So, angle between & is 60 Now, we know that, . = cos , Putting = , = & = 60 . = cos 60 . = 1 1 1 2 . = 1 2 ( + y + 0 ). = 1 2 ( + y + 0 ). (0 + 1 + 0 ) = 1 2 .0 + y.1 + 0.0 = 1 2 y = Thus, = + y = +

Miscellaneous

Misc 1
Important
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Misc 2

Misc 3 Important

Misc 4

Misc 5 Important

Misc 6

Misc 7 Important

Misc 8 Important

Misc 9

Misc 10 Important

Misc 11 Important

Misc 12 Important

Misc 13 Important

Misc 14 Important

Misc 15 Important

Misc 16 Important

Misc 17 Important

Misc 18 Important

Misc 19 Important

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.