Express `2 hat i- hat j+3 hat k` as the sum of vector parallel and a vector perpendicular to `2 hat i+4 hat j-2 hat kdot`

Express 2hat i-hat j+3hat k as the sum of a vector parallel and a vector perpendicular to 2hat i+4hat j-2hat k

Write a unit vector perpendicular to hat i+ hat j\ a n d\ hat j+ hat kdot

A vector perpendicular to hat(i)+hat(j)+hat(k) is

Docompose the vector 6hat i-3hat j-6hat k into vectors which are parallel and perpendicular to the vector hat i+hat j+hat k Then the vectors are

Which of the following vector is perpendicular to the vector vec A = 2 hat i + 3 hat j + 4 hat k ?

If hat(i), hat(j), hat(k) are the unit vectors and mutually perpendicular, then [[hat(i), hat(j), hat(k)]] =

What is the vector whose magnitude is 3, and is perpendicular to hat(i)+hat(j) and hat(j)+hat(k) ?

The vector vec b=3 hat i+4 hat k is to be written as the sum of a vector vecalpha parallel to vec a= hat i+ hat j and a vector vecbeta perpendicular to vec adot Then vecalpha= 3/2( hat i+ hat j) b. 2/3( hat i+ hat j) c. 1/2( hat i+ hat j) d. 1/3( hat i+ hat j)

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

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 .