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Let e1 and e2 be unit vectors in the OXY-plane which make angles α and β withthe x-axis. Show that e1 = i cos α + jsin α, e2 = i cos β + jsin β and prove thatcos(α − β) = cos α cos β + sin α sin β
Let e1 and e2 be unit vectors in the OXY-plane which make angles α and β withthe x-axis. Show that e1 = i cos α + jsin α, e2 = i cos β + jsin β and prove thatcos(α − β) = cos α cos β + sin α sin β


one year ago

							Dear student e1 and e2 are unit vector , angle in e1 = alpha . angle in e2 = beta e1 is unit vector so on drawing a traingle having alpha angle its x component = Cos i , and y component = Sin j Its magnitude = sqrt (Sin^2 + Cos^2) = 1Hence e1  = i cos α + jsin αSimilarly on drawing angle  angle in e2 . and applying same condition . e2 = i cos β + jsin βHope this helps Good Luck

one year ago
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### Course Features

• 19 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions