Find the resultant of two velocities 6 km/hr and 6 2km/hr inclined to one another at an angle of 135.
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If a is a unit vector and (x−a).(x+a)=8, then find ∣x∣
The scalar product of the vector i^+j^+k^with a unit vector along the sum of vector 2i^+4j^−5k^and λi^+2j^+3k^is equal to one. Find the value of λ.
In Figure, which of the vectors are: (i) Collinear (ii) Equal (iii) Coinitial
Find the unit vector in the direction of the sum of the vectors, →a=2i^+2j^−5k^and →b=2i^+j^+3k^.
Show that each of the given three vectors is a unit vector: 71(2i^+3j^+6k^),71(3i^−6j^+2k^),71(6i^+2j^−3k^)Also, show that they are mutually perpendicular to each other.
Find the direction cosines of the vector joining the points A(1,2,3)andB(1,2,1), directed from A to B.
Let a=i^+4j^+2k^,b=3i^−2j^+7k^and c=2i^−j^+4k^. Find a vector dwhich is perpendicular to both aand band c. d=15.
Find the scalar components and magnitude of the vector joining the points P(x1,y1,z1)and Q(x2,y2,z2)