Show that the area of a parallelogram wi...

Show that the area of a parallelogram with diagonals `veca` and `vecb` is `1/2|veca xx vecb|`

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THREE DIMENSIONAL GEOMETRY
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Consider the vectors veca=hati-hatj+3hatk and vecb=3hati-7hatj+hatk Find the area of the parallelogram with adjacent sides veca and vecb .

Consider the vectors veca=i-7j+7k,vecb=3i-2j+2k . Find the area of parallelogram with adjacent sides veca and vecb .

Let veca=2hati-4hatj+5hatk and vecb=hati-2hatj-8hatk be two vectors Find a vector vecc representing a diagonal of the parallelogram with veca and vecb as the adjacent sides.

If veca,vecb,vecc,vecd respectively are the position vectors representing the vertices A,B,C,D of a parallelogram, then write vecd in terms of veca,vecb,vecc .

If theta is the angle between any two vectors veca and vecb , then |veca.vecb|=|veca xx vecb| when theta is equal to a)0 b) pi/4 c) pi/2 d) pi

Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

With help of a suitable figure for any three vectors veca,vecb and vecc show that (veca+vecb)+vecc=veca+(vecb+vecc)

If theta is the acute angle between any two vectors " " veca" and "vecb , then |veca.vecb|=|vecaxxvecb| when theta is equal to :

If |veca| =2 , vecb =2 hati - hatj -3hatk and the angel between veca and vecb is (pi)/(4) then veca.vecb is equal to

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK

Show that the vectors 2 hati-hatj+hatk, hati-3 hatj-5 hatk and 3 hati-...
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If a is a non-zero vector of magnitude'a' and lambda a non-zero scala...
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Show that the area of a parallelogram with diagonals veca and vecb is ...
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Find |veca xx vecb| if veca=2 hati+hatj+3 hatk and vecb=3 hati+5 hatj-...
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Find a unit vector perpendicular to each of the vectors (veca +vecb) a...
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Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...
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Find the area of a parallelogram whose adjacent sides are given by the...
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Find |veca xx vecb|, if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 h...
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Find a unit vector perpendicular to each of the vector veca+vecb, and ...
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Choose the correct answer from the backet. If a unit vector hata makes...
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Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)
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Find lambdaand mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^...
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Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...
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Let the vectors 'veca, vecb, vecc' be given as 'a1 hati+a2 hatj+a3 hat...
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If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...
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Find the area of the triangle with vertices A(1,1,2),B(2,3,5) and C(1,...
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Find the area of the parallelogram whose adjacent sides are determined...
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Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...
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Area of a rectangle having vertices 'A, B, C' and 'D' with position ve...
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If hati+hatj+hatk, 2 hati+5 hatj, 3 hati+2 hatj-3 hatk and hati-6 hatj...
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