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CBSE Class 11-science Answered

Find the unit vector perpendicular to (i+j+k) and (i+k).
Asked by tps.mjmdr | 08 Jul, 2018, 05:54: PM
answered-by-expert Expert Answer
(vectors are typed in bold)
 
Let a = i+j+k and b = i+k are two given vectors. 
Vector product a×b gives a vector which is mutually perpendicular to a and b
 
begin mathsize 12px style bold italic a bold cross times bold italic b bold space bold equals bold space open vertical bar table row bold i bold j bold k row bold 1 bold 1 bold 1 row bold 1 bold 0 bold 1 end table close vertical bar bold space bold equals bold space bold italic i bold space bold minus bold space bold italic k end style
magnitude of vector (i-k) is √2 . hence begin mathsize 12px style fraction numerator 1 over denominator square root of 2 end fraction open parentheses bold italic i bold space bold minus bold space bold italic k close parentheses end style  is the unit vector that is mutually perpendicular to a and b
Answered by Thiyagarajan K | 09 Jul, 2018, 08:41: AM
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