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Introduction to Vectors - Revision Quiz 1

Question 1 of 5

In \(\Delta {\rm{PQR}}\) , \(\overrightarrow {{\rm{QR}}} = p\) , \(\overrightarrow {{\rm{RP}}} = q\) and \(\overrightarrow {{\rm{PQ}}} = r\) . Which of the following is true ?

A

\(p + q + r = 0\)

B

\(p + q - r = 0\)

C

\(p - q + r = 0\)

D

\(p - q - r = 0\)

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Introduction to Vectors - Revision Quiz 1

Question 2 of 5

ABCD is a parallelogram. \(\overrightarrow {{\rm{AB}}} = b\), \(\overrightarrow {{\rm{AD}}} = d\), \({\rm{BE}} = {\rm{EC}}\). The Vector \(\overrightarrow {{\rm{AE}}} \) is equal to?

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Introduction to Vectors - Revision Quiz 1

Question 3 of 5

In \(\Delta {\rm{ABC}}\) , \(\overrightarrow {{\rm{AB}}} = b\), \(\overrightarrow {{\rm{BC}}} = c\) and \({\rm{AD}} = {\rm{DB}}\). Which of the following is true ?

A

\(\overrightarrow {{\rm{CD}}} = \dfrac{1}{2}b - c\)

B

\(\overrightarrow {{\rm{DC}}} = \dfrac{1}{2}b - c\)

C

\(\overrightarrow {{\rm{DC}}} = \dfrac{1}{2}b + c\)

D

\(\overrightarrow {{\rm{CD}}} = \dfrac{1}{2}b + c\)

Answer

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Introduction to Vectors - Revision Quiz 1

Question 4 of 5

In \(\Delta {\rm{ABC}}\) , \(\overrightarrow {{\rm{AB}}} = b\), \(\overrightarrow {{\rm{BC}}} = c\) , \(\overrightarrow {{\rm{AC}}} = a\) and \({\rm{BM}} = {\rm{MC}}\) . Which of the following is true ?

A

\(\overrightarrow {{\rm{AM}}} = \dfrac{1}{2}\left( {a + b + c} \right)\)

B

\(\overrightarrow {{\rm{AM}}} = \dfrac{1}{3}\left( {a + b + c} \right)\)

C

\(\overrightarrow {{\rm{AM}}} = \dfrac{1}{2}\left( {a + c} \right)\)

D

\(\overrightarrow {{\rm{AM}}} = \dfrac{1}{2}\left( {a + b} \right)\)

Answer

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Introduction to Vectors - Revision Quiz 1

Question 5 of 5

ABCD is a parallelogram. \(\overrightarrow {{\rm{AB}}} = a\), \(\overrightarrow {{\rm{AD}}} = b\). The Vector \(\overrightarrow {{\rm{ED}}} \) is equal to ?

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Algebra Part 1 Number Systems and Sets Variation Sequences and Series Algebra Part 2 Principles of Counting Number and Proof Geometry in the Plane And Proof Circle Geometry Sampling and Sampling Distributions Trigonometric Ratios and Applications Further Trigonometry Graphing Techniques Complex Numbers Matrices Transformations of The Plane Vectors Kinematics Statics of a Particle

Introduction to Vectors - Questions

Q 1 More Questions

Question 1

In \(\Delta {\rm{PQR}}\) , \(\overrightarrow {{\rm{QR}}} = p\) , \(\overrightarrow {{\rm{RP}}} = q\) and \(\overrightarrow {{\rm{PQ}}} = r\) . Which of the following is true ?

\(p + q + r = 0\)

\(p + q - r = 0\)

\(p - q + r = 0\)

\(p - q - r = 0\)

Answer Click to reveal

Worked Solution Click to reveal

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Introduction to Vectors - Revision Quiz 1

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Introduction to Vectors - Revision Quiz 1

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Introduction to Vectors - Revision Quiz 1

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Introduction to Vectors - Revision Quiz 1

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Introduction to Vectors - Revision Quiz 1

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