Find the sum of the vectors a=i^−2j^+k^ , b=−2i^+4j^+5k^ and c=i^−6j^−7k^
Prove that the resultant of two forces acting at point O and represented by OB and OC is given by 2OD ,where D is the midpoint of BC.
Find the resultant of vectors a=i^−j^+2k^andb=i^+2j^−4k^˙ Find the unit vector in the direction of the resultant vector.
Statement 1: If ∣∣a+b∣∣=∣∣a−b∣∣, then a and b are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude, then the parallelogram is a rectangle.
The sides of a parallelogram are 2i^+4j^−5k^ and i^+2j^+3k^ . The unit vector parallel to one of the diagonals is a. 71(3i^+6j^−2k^) b. 71(3i^−6j^−2k^) c. 691(i^+6j^+8k^) d. 691(−i^−2j^+8k^)