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If the vectors (hati+hatj+hatk) and 3 ha...

If the vectors `(hati+hatj+hatk)` and `3 hati` form two sides of a triangle, then area of the triangle is :

A

`sqrt(3)` unit

B

`2sqrt(3)` unit

C

`(3)/sqrt(2)` unit

D

`3sqrt(2)` unit

Text Solution

Verified by Experts

The correct Answer is:
C
Area of triangle `=(1)/(2)|vecAxxveB|`
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ALLEN-BASIC MATHS-EXERCISE-1
  1. The angle between two vectors given by (6hati+6hatk) and (7hati+4hatj+...

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  2. Which of the following vector identies is false ?

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  3. If the vectors (hati+hatj+hatk) and 3 hati form two sides of a triangl...

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  4. Which pair of the following forces will never give resultant force of ...

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  5. If hatn=ahati+bhatj is perpendicualr to the vector (hati+hatj), then t...

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  6. Two force each numerically equal to 10 dynes are acting as shown in th...

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  7. What is the component of (3hati+4hatj) along (hati+hatj) ?

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  8. If vecA+ vecB = vecC and A+B+C=0, then the angle between vecA and vec...

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  9. If vecA+veB is a unit vector along x-axis and vecA=hati-hatj+hatk, the...

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  10. What is the value of (vecA+vecB),(vecAxxvecB) ?

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  11. If vecAxxvecB=vec0 and vecBxxvecC=vec0, then the angle between vecA an...

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  12. The resultant of vecA and vecB is perpendicular to vecA. What is the a...

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  13. The resultant of vec(A)+vec(B) is vec(R )(1). On reversing the vector ...

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  14. Given that A=B. What is the angle between (vecA+vecB) and (vecA-vecB) ...

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  15. The angle between the two vectors vecA=3hati+4hatj+5hatk and vecB=3hat...

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  16. The forces, which meet at one point but their line of action do not li...

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  17. What happens, when we multiply a vector by (-2) ?

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  18. If a unit vector represented by 0.8hati-0.8hatj+chatk, then the value ...

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  19. For a body, angular velocity (vecomega)=hati-2hatj+3hatk and radius ve...

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  20. If vecP.vecQ=PQ then angle between vecP and vecQ is

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