DP Mathematics SL Questionbank

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Directly related questions

• 17M.1.sl.TZ1.8d.ii: Hence or otherwise, find one point on \({L_2}\) which is \(\sqrt 5 \) units from C.
• 17M.1.sl.TZ1.8d.i: Find a unit vector in the direction of \({L_2}\).
• 17M.1.sl.TZ1.8c: The lines \({L_1}\) and \({L_1}\) intersect at \(C(9,{\text{ }}13,{\text{ }}z)\). Find \(z\).
• 17M.1.sl.TZ1.8b: A second line \({L_2}\), has equation r =...
• 17M.1.sl.TZ1.8a.ii: Hence, write down a vector equation for \({L_1}\).
• 12N.1.sl.TZ0.6a: Write down a vector equation for line L .
• 12N.1.sl.TZ0.6b: The line L intersects the x-axis at the point P. Find the x-coordinate of P.
• 08M.2.sl.TZ2.7: The line L1 is represented by...
• 12M.1.sl.TZ1.8a(i) and (ii): (i)     Show that...
• 12M.1.sl.TZ1.8b: Find the cosine of the angle between \(\overrightarrow {{\rm{PQ}}} \) and \({L_2}\) .
• 12M.1.sl.TZ1.8c: The lines \({L_1}\) and \({L_2}\) intersect at the point R. Find the coordinates of R.
• 10N.1.sl.TZ0.8a(i), (ii) and (iii): (i)     Show that...
• 10N.1.sl.TZ0.8b(i) and (ii): The line (AC) has equation \({\boldsymbol{r}} = {\boldsymbol{u}} + s{\boldsymbol{v}}\) . (i)    ...
• 10N.1.sl.TZ0.8d: The lines (AC) and (BD) intersect at the point \({\text{P}}(3{\text{, }}k)\) . Hence find the...
• 10N.1.sl.TZ0.8c: The lines (AC) and (BD) intersect at the point \({\text{P}}(3{\text{, }}k)\) . Show that...
• 10M.1.sl.TZ1.10b: A third line \({L_3}\) is perpendicular to \({L_1}\) and is represented by...
• 10M.1.sl.TZ1.10a: Write down a vector equation for \({L_2}\) in the form...
• 10M.1.sl.TZ1.10c: The lines \({L_1}\) and \({L_3}\) intersect at the point A. Find the coordinates of A.
• 10M.1.sl.TZ1.10d(i) and (ii): The lines \({L_2}\)and \({L_3}\)intersect at point C where...
• 09M.2.sl.TZ1.5: Two lines with equations...
• 11N.1.sl.TZ0.8a(i) and (ii): (i)     Find \(\overrightarrow {{\rm{PQ}}} \) . (ii)    Hence write down a vector equation for...
• 11N.1.sl.TZ0.8b(i) and (ii): (i)     Find the value of p . (ii)    Given that \({L_2}\) passes through...
• 11N.1.sl.TZ0.8c: The lines \({L_1}\) and \({L_2}\) intersect at the point A. Find the x-coordinate of A.
• 11M.2.sl.TZ2.8d: The lines \({L_1}\) and \({L_2}\) intersect at point C. Find the coordinates of C.
• 11M.2.sl.TZ2.8a: Find \(\overrightarrow {{\rm{AB}}} \) .
• 11M.2.sl.TZ2.8b: Find an equation for \({L_1}\) in the form...
• 11M.2.sl.TZ2.8c: Find the angle between \({L_1}\) and \({L_2}\) .
• 13M.1.sl.TZ1.8c: The line \({L_1}\) intersects the line \({L_2}\) at point Q. Find the \(x\)-coordinate of Q.
• 13M.2.sl.TZ2.4: Line \({L_1}\) has...
• 09M.1.sl.TZ2.10c: Let B be the point of intersection of lines \({L_1}\) and \({L_2}\) . (i)     Show that...
• 14M.1.sl.TZ1.8c: Find the coordinates of P.
• 14M.1.sl.TZ2.9d: The two airplanes collide at the point \((-23, 20, 28)\). How long after Ryan’s airplane takes...
• 13N.2.sl.TZ0.9a: Find the coordinates of \({\text{P}}\).
• 15N.1.sl.TZ0.9b: A line \({L_2}\) has equation...