" 37.If "a(hat i+hat j+hat k)" is a unit vector,then the value of "a" is "

The vector (hat i +hat j) is a unit vector.

If vectors hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3hat(j) - a hat(k) are equal vectors, then the value of a is :

If vector hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3 hat(j) - a hat(k) are equal vectors, then the value of a is :

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 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_(.)

If the vectors hat(i)-2hat(j)+hat(k),ahat(i)+5hat(j)-3hat(k)and5hat(i)-9hat(j)+4hat(k) are coplanar, then the value of a is

If a hat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), and hat(i)+hat(j)+c hat(k) are coplanar vectors, then what is the value of a+b+c-abc?

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 .

If vec(a) = hat(i) + 2 hat(j) + 3 hat(k) and vec(b) = 2 hat(i) + 3 hat(j) + hat(k) , find a unit vector in the direction of ( 2 vec(a) + vec(b)) .

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+hat(j)+hat(k) are two vectors, then the unit vector is