THE angle b/w A=(i cap+j cap) and B=(i cap-j cap) is

Asked by ABHILASHA | 18th Feb, 2020, 06:57: PM

Expert Answer:

Angle θ between two vectors begin mathsize 14px style a with rightwards arrow on top end styleand begin mathsize 14px style b with rightwards arrow on top end style is given by,  θ = cos-1[ (  begin mathsize 14px style a with rightwards arrow on top end style·begin mathsize 14px style b with rightwards arrow on top end style ) / ( |begin mathsize 14px style a with rightwards arrow on top end style | |begin mathsize 14px style b with rightwards arrow on top end style | ) ]
if begin mathsize 14px style a with rightwards arrow on top end style = begin mathsize 14px style i with hat on top end style+begin mathsize 14px style j with hat on top end style and begin mathsize 14px style b with rightwards arrow on top end style = begin mathsize 14px style i with hat on top end style-begin mathsize 14px style j with hat on top end style, then begin mathsize 14px style a with rightwards arrow on top end style·begin mathsize 14px style b with rightwards arrow on top end style = 0 ,  |begin mathsize 14px style a with rightwards arrow on top end style | =  |begin mathsize 14px style b with rightwards arrow on top end style | = √2
Hence θ = cos-1 (0) = π/2

Answered by Thiyagarajan K | 19th Feb, 2020, 08:55: AM

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