The vector area of a parallelogram with `bar(a)` and `bar(b)` as adjacent sides is

If the area of the parallelogram with veca and vecb as two adjacent sides is 15 sq unit ,than the area of the parallelogram having, 3veca + 2vecb and veca + 3 vec b as two adjacent sides in sq unit is

Area of a parallelogram with adjacent sides determined by vectors vec a and vec b is 30. Then the area of the parallelogram with adjacentsides determined by vectors (vec a+vec b) and vec a is

The length of longer diagonal of the parallelogram constructed an 5bar(a)+2bar(b) and bar(a)-3bar(b) as sides if it is given |bar(a)|=2sqrt(2) , |bar(b)|=3 and (bar(a),bar(b))=pi/4 is

Let bar(a),bar(b) and bar(c) be three non-zero vectors,no two of which are collinear.If the vectors bar(a)+2bar(b) is collinear with bar(c) and bar(b)+3bar(c) is collinear with bar(a), then bar(a)+2bar(b)+6bar(c) is equal to

Let a and b positive real numbers. suppose bar(PQ) = (a)bar(i) + (b)bar(j) and bar(PS)=(a)bar(i)-(b)bar(j) are adjacent sides parallelogram. Let bar(u) and bar(v) be the projection vectors of bar(omega)=bar(i)+bar(j) along bar(PQ) and bar(PS) respectively. If |bar(u)|+|bar(v)|=|bar(omega)| and if area of the parallelogram PQRS is 8 then a+b=

The adjacent sides of a parallelogram are 2bar(i)+4bar(j)-5bar(k) and bar(i)+2bar(j)+3bar(k) then the unit vector parallel to a diagonal is

If the vector bar(b)=3hat j+4hat k is written as the sum of vector bar(b)_(1) parallel to bar(a)=hat i+hat j and a vector bar(b)_(2) perpendicular to bar(a) then bar(b)_(1)times bar(b)_(2)=

A Parallelogram is constructed with a and b as adjacent sides such that |-|=a and | b- b -b The vector which coincides with the altitude of the parallelogram and is perpendicular to the vector a is.