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Physics Grade 11 Unit 2: VECTORS

national exam questions have come from this unit. It runs 30 pages; one careful study pass takes about 4.2 hours, and its difficulty is harder among Physics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.

2.1 Vectors and Types of Vectors · read p. 17
  • 2014 E.C., Q6 – Which of the following pair of vectors are collinear?
2.2 Graphical Method of Addition of Vectors in Two Dimensions (2-D) · read p. 21
  • 2010 E.C., Q8 – The four answer choices are themselves small arrow drawings: A is an arrow pointing up-right, B a horizontal arrow pointing right, C an arrow pointing down-left, and D an arrow pointing down-right; the tick is beside D.]
2.3 Algebraic Method of addition of vectors in Two Dimensions (2-D) · read p. 26
  • 2018 E.C., Q49 – The green arrows point along the negative y-axis.]
  • 2017 E.C., Q48 – Given the displacement vector $\vec{A}=(3\hat{i}-4\hat{j})\,\text{m}$, what is the unit vector in the direction of $\vec{A}$?
  • 2017 E.C., Q47 – Suppose that you are given two forces with in the direction of west of north and in the direction of east of north. If you add the two forces using analytical and graphical methods and represent using graphical scale of
  • 2017 E.C., Q17 – Two displacement vectors have magnitudes 4 m and 3 m. Which one of the following is NOT the possible value of the magnitude of their resultant vector?
  • 2012 E.C., Q36 – Consider two force vectors in x-y plane: F1 = 10N making a angle above the horizontal and F2 = 20 N 60∘ making a angle above the horizontal. Which of the following is true? 45∘
  • 2011 E.C., Q2 – Two forces exerted on a block as shown in the figure below. What is the horizontal component of the net force? [Figure: A rectangular block is shown. From its top-left corner, a force vector of magnitude 50 N is directed
  • 2011 E.C., Q3 – What is the magnitude of the resultant velocity for a bird flying first at a speed of 10 m/s North East and then flying to South at a speed of 8 m/s?
  • 2007 E.C., Q3 – The magnitude of two vectors A and B are 12 units and 5 units, respectively. Which of the following is NOT the possible value for the magnitude of the resultant vector A + B ?
2.4 Product of Vectors · read p. 39
  • 2018 E.C., Q30 – Given two vectors P = -5i + 3j and Q = 2i + j, what is the dot product of the vectors?
  • 2017 E.C., Q39 – If two vectors and , with respective magnitudes of and , form an angle between them when they are a b a b α ab cos α connected tail to tail, then the expression defines the value of
  • 2016 E.C., Q43 – Given two vectors A = [-2] and B = [9], the scalar product of these vectors is equal to
  • 2015 E.C., Q44 – Given two vectors v₁ = 10 units along the positive y-axis and v₂ = 6 units at an angle of 37° above the positive x-axis. What is the scalar product of the vectors in square of units?
  • 2011 E.C., Q4 – Let and , where is the smaller angle between and when they are drawn with their tails at the same point. Which of the following is NOT true? . = A B 0 . = A C 0
  • 2011 E.C., Q18 – Two forces and are acting on a particle of mass m. What is the magnitude and direction of a force that balances the two? = Feq 1270 = Feq 1430
  • 2010 E.C., Q1 – Four vectors are listed below . , , , Which pair of the vectors is orthogonal?
  • 2009 E.C., Q18 – Given vectors and . What is the smaller angle between the vectors?
  • 2005 E.C., Q5 – Two non-zero vectors $\vec{A}$ and $\vec{B}$ are related by $\vec{A}=c\vec{B}$ where c is a scalar. If the two vectors have opposite directions, then one of the following is true about c?