`bar a,bar b` are such that `|bar a|=sqrt 3, |bar b|= 2` and `(bar a, bar b)= (pi)/2`. Then the area of the triangle with adjacent sides `bar a+2bar b and 2bar a +bar b` is

bar(a),bar(b) are such that |bar(a)|=sqrt(3),|bar(b)|=2 and (bar(a),bar(b))=(pi)/(3). Then the area of the triangle with adjacent sides bar(a)+2bar(b) and 2bar(a)+bar(b) is

|bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each other. The area of the triangle with vertices bar(0),bar(a)+bar(b) and bar(a)-bar(b) is ……………

Find the area of the parallelgram whose adjacent sides are bar(a)=2bar(i)-3bar(j),bar(b)=3bar(i)-bar(k)

Find the area of the parallelogram whose adjacent sides are bar(a) = 2 bar(j) - bar(k), bar(b) = -bar(i) + bar(k) .

If |bar(a)|=10,|bar(b)|=2 and bar(a).bar(b)=12 then the value of |bar(a)xx bar(b)| is …………

If |bar(a)|=2, |bar(b)|=3, (bar(a), bar(b))= pi//6 , then find (bar(a) xx bar(b))^(2)

If bar(a) and bar(b) are adjacent sides of a rhombus, then bar(a).bar(b)=0 .

If bar(a) = 2bar(i) + 2bar(j) - 3bar(k), bar(b) = 3bar(i) - bar(j) + 2bar(k) then find the angle between 2bar(a)+bar(b) and bar(a) + 2bar(b) .

bar(a),bar(b),bar(c) are three vectors such that |bar(a)|=1,|bar(b)|=2,|bar(c)|=3 and bar(b),bar(c) are perpendicular to each other.If the projection of bar(b) along bar(a) is same as that of bar(c) along bar(a) then |bar(a)-bar(b)+bar(c)| is equal to