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- 1. Multiple Choice
Vector is a quantity with:
magnitude and direction
magnitude
direction
none of the above
- 2. Multiple Choice
a is the position vector of point A
b is the direction vector of line L
r is the position vector of all points in L, represented by P(x,y)
- 3. Multiple Choice
OB + BC = OC
OA + AC = OC
CB + B0 = -OC
OD = 0.5(OA + AC)
- 4. Multiple Choice
Vectors a, b, c are defined as:
a = 2i + 5j; b = i - 3j; c = -3i - j. Answer all correct answers
a + b = 3i + 8j
a - b = i + 8j
a + c = -i + 4j
c - b = -5i + 6j
- 5. Multiple Choice
Vector a = 2i + 3j - 5k. What is the value of 3a?
3i + 3j - 3k
5i + 6j - 8k
6i + 9j -15k
6i + 6j - 15k
- 6. Multiple Choice
Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is
i + 3j -5k
-i -3j +3k
i -j -5k
-i -j +3k
- 7. Multiple Choice
Given the vector v = 3i -2j +6 k, the magnitude of a is:
36
49
7
6
- 8. Multiple Choice
Given the line L: r = a + tb, where a = i+2j+3k and b= 2i -3j + k
a line with direction vector 2i +4j + 6k is parallel to L
a line with direction vector 4i -6j + 2k is parallel to L
a line with direction vector 3i - j + 7k is parallel to L
- 9. Multiple Choice
Given points A(2, 1) and B(-4, 1). Explain why the vector AB is parallel to the x-axis
because vector AB is a multiple of the unit vector i
because vector AB is a multiple of the unit vector j
because vector AB is a multiple of the unit vector k
- 10. Multiple Choice
Given parallel vectors u and v. Answer ALL that apply
their scalar product is zero
their scalar product is either 1 or -1
u is a multiple of v
magnitude of u equals the magnitude of v
- 11. Multiple Choice
The scalar product of u and v is zero, therefore...
vectors u and v are parallel
vectors u and v are perpendicular
vectors u and v are equal
vectors u and v are multiples
- 12. Multiple Choice
Given two lines L1 and L2 as r1=a1+tb1 and r2=a2+tb2, it is CORRECT to say:
They are parallel if b1=kb2
They are coincident (equal) if they are parallel and have a common point
They are skew if they are parallel and have no solution for r1=r2
They are skew if they are not parallel and have no solution for r1=r2
- 13. Multiple Choice
A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the distance that the ferry travels.
50 km
55 km
70 km
75 km
- 14. Multiple Choice
A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the speed of the ferry.
50 km/h
55 km/h
25 km/h
20 km/h
- 15. Multiple Choice
A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the velocity vector of the ferry.
15i + 20j
15i - 20j
20i + 15j
20i - 15j
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