Gobezoch › Textbooks › Mathematics Grade 11
Mathematics Grade 11 Unit 5: VECTORS
national exam questions have come from this unit. It runs 62 pages; one careful study pass takes about 7.1 hours, and its difficulty is moderate among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.
5.1 Revision on Vectors and Scalars · read p. 252
- 2017 E.C., Q3 – Which of the following statement describes the difference between scalar and vector quantities?
- 2015 E.C., Q2 – Which one of the following is a vector quantity?
5.2 Representation of vectors · read p. 254
- 2018 E.C., Q51 – Three vertices of a parallelogram ABCD are A(0,0), B(5,0), and C(7,4). If AD is parallel to BC, what are the coordinates of vertex D?
- 2017 E.C., Q21 – If $\mathbf{u} = (1, -1)$ and $\mathbf{v} = (2, -4)$ are vectors, then $\mathbf{u} - \mathbf{v}$ is equal to:
5.3 Vector Product · read p. 274
- 2014 E.C., Q50 – What is the dot (scalar) product of the vectors u = i + 2j and v = -2i + 4j?
- 2013 E.C., Q6 – Which one of the following is the scalar (dot) product of the vectors $(2, -4, 6)$ and $(-2, -1, 0)$?
- 2013 E.C., Q5 – Which of the following represents the vector $(3, -5, 7)$ in the space using the standard unit vectors $\mathbf{i}$, $\mathbf{j}$ and $\mathbf{k}$?
5.4 Application of Scalar and Cross Product · read p. 292
- 2018 E.C., Q33 – What is the area of the parallelogram spanned by the vectors $\vec{u}=i-2j+k$ and $\vec{v}=2i+2j-k$
5.5 Application of Vectors · read p. 296
- 2015 E.C., Q14 – Which one of the following is the equation of the tangent line to the circle $(x-2)^2+y^2=10$ at the point $(5,1)$?
- 2014 E.C., Q18 – If $\vec{a} = (4, 3, 2)$ and $\vec{b} = (1, 2, -3)$ are two vectors in space, then which one of the following is NOT correct?
5.6 Applications · read p. 306
Not asked in a national paper yet.