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Home / Doubts and Solutions/NEET/Physics

the angle between the vectors i+j+k and i-j-k is

Asked by vvelesha 23rd August 2018, 10:36 PM
Answered by Expert
Answer:
begin mathsize 12px style L e t space a with rightwards arrow on top space equals space i plus j plus k space a n d space b with rightwards arrow on top space equals space i minus j minus k a with rightwards arrow on top times b with rightwards arrow on top space equals space open vertical bar a with rightwards arrow on top close vertical bar cross times open vertical bar b with rightwards arrow on top close vertical bar cross times cos theta space space.................... left parenthesis 1 right parenthesis space w h e r e space theta space i s space a n g l e space b e t w e e n space t w o space v e c t o r s a with rightwards arrow on top times b with rightwards arrow on top space equals 1 minus 1 minus 1 space equals space minus 1 open vertical bar a with rightwards arrow on top close vertical bar space equals space open vertical bar b with rightwards arrow on top close vertical bar space equals square root of 3 space space cos theta space equals space fraction numerator a with rightwards arrow on top times b with rightwards arrow on top over denominator open vertical bar a with rightwards arrow on top close vertical bar cross times open vertical bar b with rightwards arrow on top close vertical bar end fraction space equals space minus 1 third space comma space o r space theta space equals space cos to the power of negative 1 end exponent open parentheses negative 1 third close parentheses space equals space 109 degree end style
Answered by Expert 24th August 2018, 11:29 AM
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