Question

If vector A=3i(cap)+4j(cap)-3k(cap) and vector B=1i(cap)+3j(cap)+2k(cap).
Calculate the vector A×B.

Answer 1

welcome to the concept of cross product ❄️

vector A = 3i cap +4j cap -3kcap

and vector B = 1 I cap +3j cap +2k cap

then A × B

=17 i cap -9 jcap +5 k cap

I hope it helps you

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Answer 2

Answer:

17 i^ - 9 j^ + 5 k^

Explanation:

determinant method is shown above

while using this method.... first write i cap , leave the column of i cap,then just cross multiply between j and k caps...

next write j cap , leave the column of j cap, cross multiply between i and k caps....

then write k cap, leave the column of k cap, cross multiply between i and j caps

NB: here ^ means cap ... not actually but only for our easiness ... so don't read it as 'raised to' ok..

i^ (AyBz-AzBy)- j^(AxBz-AzBx) + k^(AxBy-AyBx)

i^( [4×2] -[3×-3] ) - j^( [3×2] -[1×-3] ) +k^ ( [ 3×3]-[1×4] )

i^(8- -9) -j^(6--3)+ k^(9-4)

i^(17) - j^ (9) +k^ (5)

17 i^ - 9 j^ + 5 k^