Grade 11 Mathematics chapter 5

Welcome to your Grade 11 Mathematics chapter 5

After carefully reading the following 30 questions, choose the correct answer.

1. 
A scalar quantity is a physical quantity that has:

2. 
Which of the following is an example of a vector quantity?

3. 
A vector is geometrically represented by a:

4. 
The length of the arrow representing a vector indicates its:

5. 
Two vectors are said to be equal if they have:

6. 
A unit vector is a vector whose magnitude is:

7. 
The vector whose initial and terminal points are the same is called the:

8. 
The position vector of a point P(x,y) in the plane is given by:

9. 
If a=(a1​,a2​) and b=(b1​,b2​), then a+b is:

10. 
The magnitude of a vector a=(a1​,a2​) is denoted by $

11. 
For any scalar k, the vector ka has a magnitude:

12. 
The dot product (scalar product) of a and b is defined as $\vec{a} \cdot \vec{b} =

13. 
Two non-zero vectors a and b are perpendicular (orthogonal) if and only if:

14. 
If a=(a1​,a2​,a3​) and b=(b1​,b2​,b3​), then a⋅b in component form is:

15. 
The vector product (cross product) a×b results in a:

16. 
The direction of a×b is perpendicular to:

17. 
The magnitude of the cross product $

18. 
Two non-zero vectors a and b are parallel if and only if:

19. 
The area of a parallelogram with adjacent sides a and b is:

20. 
The area of a triangle with sides a and b is:

21. 
Which property is true for the cross product?

22. 
In 3D, the unit vectors along the x,y, and z axes are:

23. 
The scalar triple product a⋅(b×c) represents:

24. 
If a=(1,2) and k=3, then ka is:

25. 
The vector AB where A(x1​,y1​) and B(x2​,y2​) is:

26. 
What is i⋅j?

27. 
What is i×j?

28. 
A vector with magnitude 0 is the:

29. 
The projection of vector a onto b is given by:

30. 
If the dot product of two vectors is negative, the angle between them is:

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