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Vector A= -3i+4j+12k and Vector B=-24k-7i what is the value of sqrt of (A.B) 2 +|A*B| 2

Vector A= -3i+4j+12k and Vector B=-24k-7i what is the value of sqrt of (A.B)2 +|A*B|2

Grade:11

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
A.B= (-3i+4j+12k).( -7i-24k)
=21-288
=-267
 
AxB= |  i    j    k | 
             | -3  4   12|
             |-7   0  -24|
 
|AxB|=√(96^2+156^2+28^2 )
=185.3
 
sqrt of (A.B) 2 +|A*B| 2= √(2X-267+185.3X2)
=complex value
if the question is sqrt of (A.B)^ 2 +|A*B|^ 2
then it is = 325.
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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