if P = i+3j-7k and Q=5i-2j+4k then the length of vector PQ is
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Answer:
Length of vector PQ = √(162) = 12.72
Explanation:
It is given that
P = i + 3j - 7k
Q = 5i − 2j + 4k
Relative vector PQ is given by subtraction of them = Q − P
= 5i − 2j + 4k − ( i + 3j - 7k)
= 4i − 5j − 11k
Length of vector PQ is the magnitude of the vector PQ
= |Q − P|
Magnitude of a vector ai + bj + ck is given by √(a² + b² + c²)
In the case of PQ it is
= √(4² + 5² + 11²)
= √(162)
= 12.72
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