Course Code mth382 Question If a and b are non-collinear vectors and \(A=(x+y)a+(2x+y+1)b\) Answer x=2,y=1 Question The following forces act on a particle P:\(F_{1}=2i+3j-5k\), \(F_{2}=-5i+j+3k\),\(F_{3}=i-2j+4k\),\(F_{4}=4i-3j-2k\), Find the magnitude of the resultant Answer \(2i-j\) Question Given the scalar defined by \(\phi(x,y,z)=3x^{2}z-xy^{2}+5\),find \(\phi\) at the points (-1,-2,-3) Answer 19 Question Find a unit vector parallel to the resultant vector \(A_{1}=2i+4j-5k\),\(A_{2}=1+2j+3k\) Answer \(\frac{3}{7}i+\frac{6}{7}j-\frac{2}{7}k\) Question If \(A_{1}=3i-j-4k\), \(A_{2}=-2i+4j-3k\),\(A_{3}=i+2j-k\), find \(\left|3A_{1}-2A_{3}+4A_{3}\right|\) Answer \(\sqrt (398)\) Question A car travels 3km due north, then 5km northeast. Determine the resultant displacement Answer 7.43 Question Let a and b be vectors, then \(a \times b= ab\sin \theta\) is the __________ Answer vector Question Given that \(A_{1}=2i-j+k\),\(A_{2}=i+3j-2k\),\(A_{3}=3i+2j+5k\) and \(A_{4}=3i+2j+5k\),Find scalars a, b, c such that \(A_{4}=a A_{1} +b A_{2}+c A_{3}\) Answer a=-2,b=1,c=-3 Question Given that \(A_{1}=3i-2j+k\),\(A_{2}=2i-4j-3k\),\(A_{3}=-i+2j+2k\), find the magnitudes of \(2A_{1}-3 A_{2}-5 A_{3}\) Answer \(\sqrt 30\) Question Find the magnitude of vector \(A=3i-2j+2k\) Answer 3 Try Another Search