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CBSE Class 11-science Answered

A×B where A= 2i-3j-k and B =i+4j-2k
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Asked by banhisikhapanda49 | 07 Nov, 2023, 10:42: PM
answered-by-expert Expert Answer
 
A = 2i-3j-k and B =i+4j-2k
 
A x B = open vertical bar stack i space with hat on top space space space space stack space j with hat on top space space space space space space k with hat on top space
2 space space minus 3 space minus 1 space
1 space space space 4 space space space minus 2 close vertical bar
 
Thus, 
A x B = i [(-3) x (-2) - (4) x (-1)] - j [(-2)x(2) - (1) x (-1)] + k [(2) x (4) - (1) x (-3)]
= i [6+4] - j [-4+1] + k [8+3]
= 10i + 3 j + 11 k 
Thus, 
Cross product of two vectors A and B is, 
A x B = 10i + 3 j + 11 k 
Answered by Shiwani Sawant | 08 Nov, 2023, 10:48: AM
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