" The vectors "5i+8j" and "2i+7j" are added.The magnitude of the sum of these vector is "

The vectors 5hati+8hatj and 2i+7hatj are added. The magnitude of the sum of these vector is

Given three coplanar vectors vec A = 2 hat I - hat j , magnitude of the sum of three vectors.

If the vector 8 hat i + a hat j of magnitude 10 is in the direction of the vector 4 hat i - 3 hat j , then the value of a is equal to

The position vectors of two given points P and Q are 8i+3j and 2i−5j respectively, find the magnitude and direction of the vector PQ

The magnitude of the vector product of the vector hat i+ hat j+ hat k with a 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 sqrt(2) . 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 position vectors of two given points P and Q are 8hat i+3hat j and 2hat i-5hat j respectively; find the magnitude and direction of the vector (vec PQ)