1. If a = 2i - 4j and b = -2i + xj, then find the value of x if |a + 2b| = 6.
2. In ΔOAB, OA = a, OB = b, and M is mid-point of OA. Write the following vectors in terms of a and b: (i) OM (ii) AM (iii) BM (iv) OB + BA.
3. Two tractors are pulling a truck stuck in the mud. First tractor is pulling with a force of 250 N at an angle of 50° with the horizontal while the second tractor is pulling with a force of 300 N at an angle of 40° with the horizontal. What is the magnitude and direction of the resultant force?
Topic Tags:#exercise#vectors#unit vectors#parallel vectors#resultant vectors#mathematics#10th class