if vector A = 2 i cap +3j cap - z k cap and vector B = i cap + j cap + 4 k cap. find the value of z so that vector A and vector B are perpendicular.
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Explanation:
condition of perpendicular
a.b=0
then vector a= 2i cp +3i cp -zk cp
vector b= i cp +j cp+4 k cp
( 2i + 3j - zk) . (i +j + 4k) =0
2+3-4z =0
5-4z =0
0=0
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