Vector Relationships and Properties

This video tutorial covers solving geometric problems from chapter 11.5 of the A-level Maths textbook. It includes two exam-style questions. The first question involves expressing vector O2N in terms of vectors A and B and proving the ratio AN to NB is 1:2. The second question demonstrates that the diagonals of a parallelogram bisect each other. The tutorial provides detailed solutions and explanations for each problem, emphasizing vector operations and geometric proofs.

What chapter and section does the video focus on?

• Chapter 11, Section 4

• Chapter 12, Section 4

• Chapter 11, Section 5

• Chapter 10, Section 5

In triangle OAB, what is the vector from O to A?

• Vector B

• Vector A

• Vector C

• Vector D

What is the ratio in which point M divides OA?

• 1:3

• 2:1

• 1:2

• 3:1

What is the vector O to M in terms of A?

• 3/2 A

• 1/3 A

• A

• 2/3 A

What is the relationship between MN and OB?

• MN is opposite to OB

• MN is equal to OB

• MN is parallel to OB

• MN is perpendicular to OB

What is the scalar multiple of vector B for M to N?

• Lambda

• Gamma

• Theta

• Mu

How is the vector A to N expressed in terms of A to B?

• Mu lots of A to B

• Lambda lots of A to B

• Theta lots of A to B

• Gamma lots of A to B

What is the value of Mu in the expression for A to N?

• 1/4

• 2/3

• 1/3

• 1/2

What is the ratio of AN to NB?

• 1:2

• 1:1

• 2:1

• 2:2

What shape is OABC in the second problem?

• Rectangle

• Parallelogram

• Square

• Triangle