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The scalar product of the vector hat i...

The scalar product of the vector ` hat i+ hat j+ hat k`with a unit vector along the sum of vector `2 hat i+4 hat j-5 hat k`and `lambda hat i+2 hat j+3 hat k`is equal to one. Find the value of `lambda`.

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The scalar product of the vector hat i+hat j+hat k with the unit vector along the sum of vectors 2hat i+4hat j-5hat k. and lambdahat i+2hat j+3hat k is equal to one.Find the value of lambda .

The magnitude of the vector product of the vector hat i+hat j+hat k with a unit vector along the sum of vectors 2hat i+4hat j-5hat k and lambda i+2hat j+3hat k is equal to sqrt(2). Find the value of lambda_(.)

The scalar product of the vector vec a=hat i+hat j+hat k with a unit vector along the sum of the vectors vec b=2hat i+4hat j-5hat k and vec c=lambdahat i+2hat j+3hat k is equal to 1. Find the value of lambda and hence find the unit vector along vec b+vec r

What is the value of b such that the scalar product of the vector hat(i) + hat(j) + hat(k) with the unit vector parallel to the sum of the vectors 2hat(i) + 4hat(j)-5hat(k) and b hat(i) + 2hat(j) + 3hat(k) is unity ?

What is the value of b such that the scalar product of the vector hat(i)+hat(j)+hat(k) with the unit vector parallel to the sum of the vectors 2hat(i)+4hat(j)-5 hat(k) and b hat(i)+2hat(j)+3hat(k) is unity ?

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

Dine the unit vector peroendicular to each of the vectors 3 hat i+ hat j 2 hat k and 2 hat i- 2 hat j = 4 hat k .

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Find a unit vector parallel to the resultant of vectors vec A = 3 hat I + 3 hat j - 2 hat k and vec B= hat i- 5 hat j + hat k .

NCERT-VECTOR ALGEBRA-MISCELLANEOUS EXERCISE
  1. If theta is the angle between any two vectors veca and vec b, then...

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  2. The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k...

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  3. Show that the direction cosines of a vector equally inclined to the a...

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  4. Write down a unit vector in XY-plane, making an angle of 30° with the...

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  5. A girl walks 4 km towards west, then she walks 3 km in a direction 30...

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  6. Find the scalar components and magnitude of the vector joining the po...

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  7. Find the value of x for which x( hat i+ hat j+ hat k)is a unit vector...

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  8. Let vec a= hat i+4 hat j+2 hat k , vec b=3 hat i-2 hat j+7 hat kand ...

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  9. The scalar product of the vector hat i+ hat j+ hat kwith a unit vect...

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  10. If theta is the angle between two vectors veca and vecb, then veca...

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  11. Let -> aand -> bbe two unit vectors and is the angle between them...

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  12. If veca , vecb , veccare mutually perpendicular vectors of equal ma...

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  13. Prove that (veca+ vecb)*( veca+ vecb)=|veca|^2+| vecb|^2, if and only ...

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  14. The value of hat i . ( hat jxx hat k)+ hat j . ( hat i times hat k)+...

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  15. State True or False: If vec a= vecb + vec c then |veca |= |vec b| ...

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  16. Find the position vector of a point R which divides the line joining ...

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  17. If veca= hat i+ hat j+ hat k, vecb=2 hat i- hat j+3 hat k and vecc...

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  18. Find a vector of magnitude 5 units, and parallel to the resultant of ...

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  19. Show that the points A(1,2,8) , B(5,0,2) and C(11,3,7)are collinear, ...

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