If `vec(A) = 4 hat(i) - 3 hat(j)` then obtain the scalar magnitude and direction of `vec(A)`

If vec(A) = 4 hat(i) - 3 hat(j) and vec(B) = 6 hat(i) + 8 hat(j) then obtain the scalar magnitude and directions from x-axis of vec(A), vec(B) , vec(A) + vec(B) and vec(A) - vec(B) .

If \vec { B } = 6 \hat { \i } + 8 \hat { j } then obtain the magnitude and direction of \vec { B }

If \vec { A } = 4 \hat { \i } - 3 \hat { j } , \vec { B } = 6 \hat { \i } + 8 \hat { j } then obtain the magnitude and direction of \vec { A } + \vec { B }

Given vec(B) = 2 hat (i) + 2 hat(j) . Find out magnitude and direction of vec(B)

If \vec { A } = 4 \hat { \i } - 3 \hat { j } and \vec { B } = 6 \hat { \i } + 8 \hat { j } . Find out the magnitude and direction of \vec { A } - \vec { B }

If vec(A) = 3 hat(i) + 4 hat(j) and vec(B) = 7 hat(i) + 24 hat(j) , then find a vector having the same magnitudes as vec(B) and parallel to vec(A) .

Statement 1: A component of vector vec b=4 hat i+2 hat j+3 hat k in the direction perpendicular to the direction of vector vec a= hat i+ hat j+ hat ki s hat i- hat jdot Statement 2: A component of vector in the direction of vec a= hat i+ hat j+ hat k is 2 hat i+2 hat j+2 hat kdot

For given vectors vec a = 2 hat i - hat j + 2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .