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AP Intermediate 2nd Year Vector Algebra and 3D Geometry — practice questions — page 4

Explore 218 free Vector Algebra and 3D Geometry questions in AP Intermediate 2nd Year Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Vector Algebra and 3D Geometry questions and exercises with answers

Showing questions 91–120 of 218.

Vector addition where order does not matter is called:Read the answer and worked solution →The additive identity for vectors is the:Read the answer and worked solution →The vectors i, j and k each have magnitude:Read the answer and worked solution →The vectors i, j and k lie along which axes?Read the answer and worked solution →A vector joining two points is found by applying the:Read the answer and worked solution →A directed line segment has magnitude and:Read the answer and worked solution →The girl's net movement from A to C is represented by a:Read the answer and worked solution →Where does a vector start, in the standard naming?Read the answer and worked solution →Multiplying a vector by a scalar changes its:Read the answer and worked solution →Which quantity in this list is NOT a vector?Read the answer and worked solution →A unit vector is mainly used to show a vector's:Read the answer and worked solution →Scalar or vector?Read the answer and worked solution →Match the vector termRead the answer and worked solution →True or false about vectorsRead the answer and worked solution →Vector numbersRead the answer and worked solution →Tap the vector quantitiesRead the answer and worked solution →Complete the vector definitionRead the answer and worked solution →Scalar or vector, quicklyRead the answer and worked solution →Vector algebra bingoRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Match each kind of vector to its definitionRead the answer and worked solution →True or false: vector vocabularyRead the answer and worked solution →Order the steps: angle between two lines from direction ratiosRead the answer and worked solution →Which of these is a vector quantity?Read the answer and worked solution →A plane meets the axes at (a,0,0), (0,b,0), (0,0,c). Its equation isRead the answer and worked solution →The girl's net movement from A to C is represented by a:Read the answer and worked solution →Tap the vector quantitiesRead the answer and worked solution →Scalar or vector, quicklyRead the answer and worked solution →Three vectors $\vec a, \vec b, \vec c$ are coplanar if and only if:Read the answer and worked solution →A quantity with magnitude as well as direction is a:Read the answer and worked solution →

Worked practice questions

Vector addition where order does not matter is called:

  1. Alternative
  2. Commutative
  3. Associative
  4. Distributiv
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Correct answer: B. Commutative

1. The first property listed for vector addition covers order. 2. It says a plus b equals b plus a. 3. That is the commutative property. 4. So the answer is commutative. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

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The additive identity for vectors is the:

  1. First vector
  2. Basis vector
  3. Zero vector
  4. Unit vector
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Correct answer: C. Zero vector

1. Adding it leaves any vector unchanged. 2. It has no length and no direction. 3. So the zero vector is the additive identity. 4. The answer is the zero vector. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

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The vectors i, j and k each have magnitude:

  1. Zero
  2. Nine
  3. Four
  4. One
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Correct answer: D. One

1. They mark the three coordinate directions. 2. Each is used purely to give direction. 3. Each has magnitude 1. 4. So the answer is one. _Source: syllabus Mathematics, Ch 10 'Vector Algebra'_

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