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The cross product of two vectors gives zero when the vectors enclose an angle of
A. 900
B. 1800
C. 450
D. 1200

Answer
VerifiedVerified
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Hint: To answer this question, we first need to understand what is a vector. A vector is a two-dimensional object with both magnitude and direction. A vector can be visualized geometrically as a guided line segment with an arrow indicating the direction and a length equal to the magnitude of the vector.

Complete step by step answer:
Cross product: The cross product a×b is defined as a vector c that is perpendicular (orthogonal) to both a and b, with a magnitude equal to the area of the parallelogram that the vectors span and a direction given by the right-hand law.Cross product formula of two vectors,
a×b=a.b.sinθ
Here a and b are the two vectors and θ is the angle between two vectors. Here a and b are the magnitudes of both vectors

As given in the question, the cross product is zero. Therefore,
a.b.sinθ=0
Now as we know that magnitude can’t be zero
So, to make this product zero sinθmust be zero
So, sinθ=0
As sinθ=0 so the angle must be 00 or 1800.
As given in this question, the option available is 1800.

Hence, the correct answer is option B.

Note: In three-dimensional spaces, the cross product, area product, or vector product of two vectors is a binary operation on two vectors. It is denoted by the symbol (×). A vector is the cross product of two vectors.
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