
If are three non-coplanar vectors and reciprocal vectors, then is equal to?
(1)
(2)
(3)
(4) None of these
Answer
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Hint:Here in this question we have been asked to value of given that are three non-coplanar vectors and reciprocal vectors. As it is given that are reciprocal vectors of are three non-coplanar vectors we can say that , and .
Complete step-by-step solution:
Now considering from the question we have been asked to value of given that are three non-coplanar vectors and reciprocal vectors.
From the basic concepts we know that the product of a vector and its reciprocal vector is 1.
Since it is given that are three non-coplanar vectors and reciprocal vectors we can say that
, and .
, and .
, and .
Now we can evaluate the value of the given expression using the values we have got, by doing that we will have
.
Now by substituting we can say that the value of the expression is .
Therefore we can conclude that the value of the given expression is when it is given that are three non-coplanar vectors and reciprocal vectors.
Hence we will mark the option “3” as correct.
Note:This is a very easy and simple question and can be answered in a short span of time. If someone had a misconception and considered that , and then they will end up having the value of the expression as which is a wrong answer.
Complete step-by-step solution:
Now considering from the question we have been asked to value of
From the basic concepts we know that the product of a vector and its reciprocal vector is 1.
Since it is given that
Now we can evaluate the value of the given expression
Now by substituting
Therefore we can conclude that the value of the given expression
Hence we will mark the option “3” as correct.
Note:This is a very easy and simple question and can be answered in a short span of time. If someone had a misconception and considered that
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