If a=2i^−3j^+k^,b^=−i^+k^,c=2j^−k^are three vectors, find the area of the parallelogram having diagonals (a+b)and (b+c)˙
Classify the following measures as scalars and vectors.(i) 10 kg (ii) 2 meters north-west (iii) 40∘(iv) 40 watt (v) 10−19 coulomb (vi)20 m/s2
Show that the points A, B and C with position vectors, a=3i^−4j^−4k^, b=2i^−j^+k^and c=i^−3j^−5k^ respectively form the vertices of a right angled triangle.
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are 2(a+b)and (a−3b)externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ
A girl walks 4 km towards west, then she walks 3 km in a direction 30oeast of north and stops. Determine the girls displacement from her initial point of departure.