The two vectors 2i + 5j + k and 3i - 2j + 4k are A. parallel B. perpendicular C. equal D. none of these
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Given : The two vectors 2i + 5j + k and 3i - 2j + 4k
To Find : Vectors are
A. parallel
B. perpendicular
C. equal
D. none of these
Solution:
Two vectors are parallel
A = 2i + 5j + k
B = 3i - 2j + 4k
Vectors are parallel if
2/3 = 5/-2 = 1/4
Which is not true
Hence Vectors are not parallel
Vectors are perpendicular if dot product is Zero
(2i + 5j + k).(3i - 2j + 4k) = 0
=> 6 - 10 + 4 = 0
=> 10 - 10 = 0
=> 0 = 0
Hence Vectors are perpendicular
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