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The area of the parallelogram whose side...

The area of the parallelogram whose sides are represented by the vector `hat(j)+3hat(k)` and `hat(i)+2hat(j)-hat(k)` is

A

`sqrt(61)` sq. unit

B

`sqrt(59)` sq. unit

C

`sqrt(49)` sq. unit

D

`sqrt(52)` sq. unit

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The correct Answer is:
B
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Find the area of parallelogram whose adjacent sides are represented by the vectors 3hat(i)+hat(j)-2hat(k) and hat(i)-2hat(j)-hat(k) .

Find the area of the parallelogram whose adjacent sides are represented by the vectors (i) vec(a)=hat(i) + 2 hat(j)+ 3 hat(k) and vec(b)=-3 hat(i)- 2 hat(j) + hat(k) (ii) vec(a)=(3 hat(i)+hat(j) + 4 hat(k)) and vec(b)= ( hat(i)- hat(j) + hat(k)) (iii) vec(a) = 2 hat(i)+ hat(j) +3 hat(k) and vec(b)= hat(i)-hat(j) (iv) vec(b)= 2 hat(i) and vec(b) = 3 hat(j).

Find the area of the parallelogram whose adjacent sides are represented by the vectors (3 hat (i)+hat(j)-2 hat(k)) and (hat (i)-3 hat(j)+4 hat (k)).

Find the area of a parallelogram whose adjacent sides are represented by the vectors 2hat i-3hat k and 4hat j+2hat k

Find the area of the parallelogram whose diagonals are represented by the vectors vec(d)_(1)=(2 hat(i) - hat(j)+ hat(k)) and vec(d)_(2) = (3 hat(i) + 4 hat(j) - hat(k)).

Find the area of the parallelogram whose diagonals are represented by the vectors (i) vec(d)_(1)= 3 hat(i) + hat(j) - 2 hat(k) and vec(d)_(2) = hat(i) - 3 hat(j) +4 hat(k) (ii) vec(d)_(1)= 2 hat(i) - hat(j) + hat(k) and vec(d)_(2)= 3 hat(i) + 4 hat(j)-hat(k) (iii) vec(d)_(1)= hat(i)- 3 hat(j) + 2 hat(k) and vec(d)_(2)= -hat(i)+2 hat(j).

Two adjacent sides of a parallelogram are represented by the two vectors hat(i) + 2hat(j) + 3hat(k) and 3hat(i) - 2hat(j) + hat(k). What is the area of parallelogram?

The cross product of two vectors gives a vector perpendicular to the plane containing the vectors. Area of parallelogram whose adjacent sides are represented by the vectors vec(a)=2hat(i)-hat(j)+hat(k) and vec(b)=3hat(i)-hat(j) is sq. units.

The unit vector parallel to one of the diagonal of the parallelogram whose two adjacent sides are represented by the vectors 2hat i+4hat j-5hat k and hat i+2hat j+3hat k is

The sides of a parallelogram represented by vectors p = 5hat(i) - 4hat(j) + 3hat(k) and q = 3hat(i) + 2hat(j) - hat(k) . Then the area of the parallelogram is :

ERRORLESS -VECTORS-Exercise
  1. The diagonals of a parallelogram are 2hati and 2hatj. What is the area...

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  2. What is the unit vector perpendicular to the following vectors 2hati+2...

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  3. The area of the parallelogram whose sides are represented by the vecto...

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  4. The position of a particle is given by vecr=(hati+2hatj-hatk) and mome...

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  5. Two vector A and B have equal magnitudes. Then the vector A+B is perpe...

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  6. Find the torque of a force vecF= -3hati+hatj+5hatk acting at the poin...

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  7. the value of (vecA+vecB)xx(vecA-vecB) is

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  8. If vecA and vecB are perpendicular vectors and vector vecA=5hati+7hatj...

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  9. A body, under the action of a force vec(F)=6hati -8hatj+10hatk , acqui...

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  10. Area of a parallelogram formed by vectors (3hati-2hatj+hatk)m and (hat...

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  11. The position vectors of radius are 2hati+hatj+hatk and 2hati-3hatj+hat...

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  12. What is the value of linear velocity, if vecomega=3hati-4hatj+hatk and...

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  13. Dot product of two mutual perpendicular vector is

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  14. When vecA.vecB=-|A||B|, then

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  15. If |vecAxxvecB|=sqrt(3) vecA.vecB, then the value of |vecA+vecB| is

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  16. A force vecF=3hati+chatj+2hatk acting on a particle causes a displacem...

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  17. A force vecF=(5hati+3hatj)N is applied over a particle which displaces...

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  18. If a vector vec(A) is parallel to another vector vec(B) then the resul...

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  19. P, Q and R are three coplanar forces acting at a point and are in equi...

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  20. P, Q and R are three coplanar forces acting at a point and are in equi...

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