[" The cemponent of wector,"A-i3i+2" i) aiong the direction of "li-i" is "],[qquad [0,-(1)/(2)|b-j)]]

The length of projection of i+2j+3k in the direction of 3i-4j+5k is

Find the component of a vectro vec A = 3 hat I + 2 hat j along the direction of ( hat I + hat j)

{:(I."Area of the parallelogram with diagonals" 3i + j - 2k. i - 3j + 4k, a.(sqrt(569))/(4)), (II. "Area of the triangle whose adjacent sides are" 3i + 4j "and" i - 3j + 4k, b. (2)/(sqrt(14))),(III. "Volume of parallelopiped whose edges are" 2i - 3j. i + j - k. 3i - k, c. 5 sqrt(3)),(IV. "Projection of" 2i + 3j - 2k "in the direction of" i + 2j + 3k, d. 4),(, e. 2//3)):}"

If a = i + j, b = j + k and c = i + k then a unit vector in the direction of a - 2b + 3c is

If the position vectors of A, B are 2i - 9j - 4k, 6i - 3j + 8k then the unit vector in the direction of vec(A)B is

If the position vectors of A and B are 3i - 2i + k and 2i + 4j - 3k then the length of AB is