Cross Product Multiple Choice Questions and Answers (MCQs)

This set of Data Structures & Algorithms Multiple Choice Questions & Answers (MCQs) focuses on “Cross Product”.

1. Cross product is a mathematical operation performed between ________________
a) 2 scalar numbers
b) a scalar and a vector
c) 2 vectors
d) any 2 numbers
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2. Cross product is also known as?
a) scalar product
b) vector product
c) dot product
d) multiplication
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3. What is the magnitude of resultant of cross product of two parallel vectors a and b?
a) |a|.|b|
b) |a|.|b| cos(180)
c) |a|.|b| sin(180)
d) 1
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4. What is the general formula for finding the magnitude of the cross product of two vectors a and b with angle θ between them?
a) |a|.|b|
b) |a|.|b| cos(θ)
c) |a|.|b| sin(θ)
d) |a|.|b| tan(θ)
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5. The concept of cross product is applied in the field of computer graphics.
a) true
b) false
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6. Which of the following equals the a x b ( a and b are two vectors)?
a) – (a x b)
b) a.b
c) b x a
d) – (b x a)
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7. Cross product of two vectors can be used to find?
a) area of rectangle
b) area of square
c) area of parallelogram
d) perimeter of rectangle
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8. The resultant vector from the cross product of two vectors is _____________
a) perpendicular to any one of the two vectors involved in cross product
b) perpendicular to the plane containing both vectors
c) parallel to to any one of the two vectors involved in cross product
d) parallel to the plane containing both vectors
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9. What will be the cross product of the vectors 2i + 3j + k and 3i + 2j + k?
a) i + 2j + k
b) 2i + 3j + k
c) i + j – 5k
d) 2i – j – 5k
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Answer: c
Explanation: We can find the cross product of the given vectors by solving the determinant.

10. What will be the cross product of the vectors 2i + 3j + k and 6i + 9j + 3k?
a) i + 2j + k
b) i – j – 5k
c) 0
d) 2i – j – 5k
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11. Find the output of the following code.

#include <bits/stdc++.h> 
using namespace std; 
void crossP(int A[], int B[], int cross[]) 
{ 
	cross[0] = A[1] * B[2] - A[2] * B[1]; 
	cross[1] = A[0] * B[2] - A[2] * B[0]; 
	cross[2] = A[0] * B[1] - A[1] * B[0]; 
}
int main() 
{ 
	int A[] = { 1, 2, 4 }; 
	int B[] = { 2, 3, 2 }; 
	int cross[3]; 
	crossP(A, B, cross); 
	for (int i = 0; i < 3; i++) 
		cout << cross[i] << " "; 
	return 0; 
}

a) 1 2 5
b) -1 -5 -3
c) -6 -8 -1
d) -8 -6 -1
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12. Which of the following operation will give a vector that is perpendicular to both vectors a and b?
a) a x b
b) a.b
c) b x a
d) both a x b and b x a
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