The difference of a vector B and its negative vector -B is:
Correct answer: C. Twice the magnitude of vector B
- A. A null vector
- B. Equal to magnitude of vector B
- C. Twice the magnitude of vector B
- D. Smaller than magnitude of vector B
Explanation
Option C is correct. The difference between vector B and its negative vector -B is equivalent to B - (-B), which simplifies to B + B = 2B. Thus, the magnitude of the resulting vector is twice that of vector B.Option A is incorrect because a null vector occurs when two opposite vectors are added, not subtracted.Option B is incorrect because the magnitude of the difference between a vector and its negative cannot equal the magnitude of the original vector.Option D is incorrect because the magnitude of the resulting vector from B - (-B) will be larger, not smaller, than the magnitude of vector B.
This question appeared on the UHS MDCAT 2010 paper, which you can sit online with every answer explained.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Addition of Vectors
Vector addition combines directed quantities using the head-to-tail, parallelogram and component methods. Work includes finding the resultant magnitude and direction for two or more vectors, resolving vectors into perpendicular components, and distinguishing vector addition from scalar addition, where direction has no role.
Practise Vectors and Equilibrium
431 free Vectors and Equilibrium MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Addition of Vectors questions
Unit vector in the direction of vector 2i - 4j will be:
If the resultant of two vectors each of magnitude F is also of magnitude F, the angle between them is:
The given figure depicts one of the conditions of equilibrium.Which of the following options identifies the CORRECT name and statement of the condition?
Two forces having magnitude 3.5N and 5.5N are acting on a body. Which one of the following can not be the resultant of their possible sum:
If there are coplanar forces acting on a body to keep it in equilibrium, then these forces are:
The resultant of a 6N force and an 8N force acting at right angles to each other is of the magnitude: