If the points \(T(2, - 1)\), \(U( - 1,1)\) and \(V(k,3)\) lie on the same straight line then \(k\) is equal to:
\[- 3\]
\[- 4\]
\[3\]
\(A(1,2,1)\), \(B(4,5,6)\) and \(C(10,y,16)\) are collinear. What is the value of y?
\[8\]
\[11\]
\(A(4, - 2,0)\), \(B(10,7,3)\) and \(C(14,13,5)\) are collinear. In what ratio does \(B\) divide \(AC\)?
\[1:2\]
\[2:3\]
\[3:2\]
\(A = (1, - 2,4)\) and \(B = (8,12, - 3)\). Find the coordinates of the point which divides \(AB\) in the ratio \(2:5\).
\[(3,2,2)\]
\[(3, - 2,2)\]
\[(3, - 2, - 2)\]
Find the angle \(PQR\) where \(\overrightarrow{QP}=\left(\begin{array}{l}4\\0\\3\end{array}\right)\) and \(\overrightarrow{QR}=\left(\begin{array}{l}\,\,\,\,\,0\\-3\\-4\end{array}\right)\).
\[61.3^\circ\]
\[118.3^\circ\]
\[- 118.3^\circ\]