alleryStart learning →What is the displacement vector from the point (1, 2, 3) to the point (4, 6, 8)?
- (5, 8, 11)
- (3, 4, 5)
- (-3, -4, -5)
- (4, 12, 24)
Show answer and solution
Correct answer: B. (3, 4, 5)
Subtract the starting coordinates from the end ones: 3, 4 and 5.
AP EAMCET Euclidean Vector — practice questions — page 2
Explore 48 free Euclidean Vector questions in AP EAMCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Euclidean Vector with Quill →Euclidean Vector questions and exercises with answers
Showing questions 31–48 of 48.
What is the displacement vector from the point (1, 2, 3) to the point (4, 6, 8)?Read the answer and worked solution →What is the straight-line distance from (1, 2, 3) to (4, 6, 15)?Read the answer and worked solution →A position vector has its base point at which location?Read the answer and worked solution →When are two vectors equal?Read the answer and worked solution →If (a, 2, 5) equals (3, b, 5) as vectors, what is a + b?Read the answer and worked solution →In the dot product, what is the result for vectors (1, 2, 3) and (4, -5, 6)?Read the answer and worked solution →What is the dot product of (2, 3) and (3, -2)?Read the answer and worked solution →Vectors of lengths 4 and 5 meet at 60 degrees. What is their dot product?Read the answer and worked solution →The cross product a × b is directed how relative to a and b?Read the answer and worked solution →Which rule fixes the orientation of a × b?Read the answer and worked solution →The scalar triple product of three vectors is also known by which name?Read the answer and worked solution →The scalar triple product equals which determinant in components?Read the answer and worked solution →The dot product is also commonly called which of these?Read the answer and worked solution →How is a unit vector usually marked in notation?Read the answer and worked solution →What do the standard basis vectors e1, e2, e3 represent geometrically?Read the answer and worked solution →A force of 15 N pointing to the right is written -15 N when the positive axis points where?Read the answer and worked solution →In a pseudo-Euclidean space, which values can a vector's squared length take?Read the answer and worked solution →In pure mathematics, a vector is defined more generally as an element of what?Read the answer and worked solution →
Worked practice questions
What is the straight-line distance from (1, 2, 3) to (4, 6, 15)?
- 13
- 25
- 169
- 7
Show answer and solution
Correct answer: A. 13
The displacement is (3, 4, 12) and its length is the square root of 9 + 16 + 144 = 169, so 13.
A position vector has its base point at which location?
- Terminal point
- The origin
- The midpoint
- Unit point
Show answer and solution
Correct answer: B. The origin
A position vector represents a point x by an arrow from the origin to x.
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