If vector a = 2 i - 3 j - k and vector b = i + 4 j - 2 k then vector(a x b) is equal to which of the following ?
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The vector perpendicular to the two vectors would be given by cross product of two
A=3i+j+2k
B=2i-2j+4k
Unit vector=AxB / IAXBI
AxB= i j k
3 1 2
2 -2 4
=i(8)-j(12-4)+k(-6-2)
=8i-8j-8k
AXB=8[i-j-k]
now IAxBI=√[8²+(-8)²+(-8)²=√3 [8]²
=8 √3
Now unit vector perpendicular to given two vectors = 8[i-j-k] / 8 √3
=[i-j-k]/√3
Hope it helps you
Please make me as brainliest
A=3i+j+2k
B=2i-2j+4k
Unit vector=AxB / IAXBI
AxB= i j k
3 1 2
2 -2 4
=i(8)-j(12-4)+k(-6-2)
=8i-8j-8k
AXB=8[i-j-k]
now IAxBI=√[8²+(-8)²+(-8)²=√3 [8]²
=8 √3
Now unit vector perpendicular to given two vectors = 8[i-j-k] / 8 √3
=[i-j-k]/√3
Hope it helps you
Please make me as brainliest
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