10 JEE Main 2003 Vector Algebra previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2003 previous-year questions from the Vector Algebra chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Vector Algebra chapter hub.
If |arrayllla & a² & 1+a³ \ b & b² & 1+b³ \ c & c² & 1+c³array |=0 and vectors (1, a, a² ), (a, b, b² ) and (a, c, c² )…
A tetrahedron has vertices at O(0,0,0), A(1,2,1) B(2,1,3) and C(-1,1,2). Then the angle between the faces OAB and ABC w…
If u, v and w are three non-coplanar vectors, then (u+v-w) .(u-v) ×(v-w) equals
a, b, c are 3 vectors, such that a+b+c=0,|a|=1,|b|=2 a then a · b+b · c+c · a is equal to
Let u=i+j, v=i-j and w=i+2 j+3 k. If n is a unit vector such that u · n=0 and v · n=0, then |w · n| is equal to
The lines x-21=y-31=z-4-k and x-1k=y-41=z-51 are coplanar if
Consider points A, B, C and D with position vectors 7 i-4 j+7 k, i-6 j+10 k,-i-3 j+4 k and 5 i-j+5 k respectively. Then…
A couple is of moment G and the force forming the couple is P. If P is turned through a right angle the moment of the c…
The resultant of forces P and Q is R. If Q is doubled then R is doubled. If the direction of Q is reversed, then R is a…
A particle acted on by constant forces 4 i+j-3 k and 3 i+j-k to the point 5 i+4 j-k. The total work done by the forces…