The scalar product of the vector ` hat i+\ hat j+\ hat k\ ` with the unit vector along the sum of vectors `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` .

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 .

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

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_(.)

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 .

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 ?

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 .

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

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

Find the scalr and vector products of two vectors vec a =(3 hat I - 4 hat j + 5 hat k) and vec b = (-2 hat I + hat j- 3 hat k).