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Vector Basics - Revision Quiz 1

Question 1 of 11

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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Vector Basics - Revision Quiz 1

Question 2 of 11

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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Vector Basics - Revision Quiz 1

Question 3 of 11

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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Vector Basics - Revision Quiz 1

Question 4 of 11

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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Vector Basics - Revision Quiz 1

Question 5 of 11

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

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Vector Basics - Revision Quiz 1

Question 6 of 11

\(ABCD\) is a quadrilateral and \(M\) is the midpoint of \(AD\).

\(\overrightarrow {DC} = r,\,\overrightarrow {AB}=p\) and \(\overrightarrow {BC}=q\)

i) Find \(\overrightarrow {MA}\) in terms of \(p,\,q\) and \(r\)

ii) Hence find \(\overrightarrow {MB}\) in terms of \(p,\,q\) and \(r\)

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Vector Basics - Revision Quiz 1

Question 7 of 11

\(\overrightarrow {OC} \) is parallel to \(\overrightarrow {AB} \) and twice its length. \(\overrightarrow {BC}= \)?

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Vector Basics - Revision Quiz 1

Question 8 of 11

In \(\Delta {\rm{ABC}}\), \(\overrightarrow {AB} = b\), \(\overrightarrow {BC} = c\), \(\overrightarrow {AC} = a\) and \(BM=2MC\). Which of the following is true ?

A

\(\overrightarrow {AM} \) = \(\dfrac{1}{2}\left( {a + b - \dfrac{1}{3}c} \right)\)

B

\(\overrightarrow {AM} \) = \(\dfrac{1}{2}\left( {a + b + \dfrac{1}{3}c} \right)\)

C

\(\overrightarrow {AM} \) = \(\dfrac{1}{2}\left( {a + b + \dfrac{2}{3}c} \right)\)

D

\(\overrightarrow {AM} \) = \(\dfrac{1}{2}\left( {a + b - \dfrac{2}{3}c} \right)\)

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Vector Basics - Revision Quiz 1

Question 9 of 11

The straight line \(2x - 3y + 2 = 0\) has been translated 2 units to the right, the equation of the line is?

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Vector Basics - Revision Quiz 1

Question 10 of 11

In quadrilateral ABCD, \(\overrightarrow {AB} = b\), \(\overrightarrow {BC} = c\), \(\overrightarrow {CD} =d\) and \(\overrightarrow {DA} = a\). Which of the following is true ?

A

\(a + b + c - d = 0\)

B

\(a + b - c - d = 0\)

C

\(a + b + c + d = 0\)

D

\(a - b - c - d = 0\)

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Vector Basics - Revision Quiz 1

Question 11 of 11

Express the vector \(\overrightarrow {PQ} \) in terms of \(a,\,b\) and \(c\)

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Vector Basics - 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

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Vector Basics - Revision Quiz 1

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Vector Basics - Revision Quiz 1

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Vector Basics - Revision Quiz 1

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Vector Basics - Revision Quiz 1

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Vector Basics - Revision Quiz 1

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Vector Basics - Revision Quiz 1

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