" The orthogonal projection of "a=2i+3j+3k" on "b=1-2j+k" is "

The orthogonal projection of bar(a)=2i+3j+3k on bar(b)=i-2j+k is

The projection of veca=2i+3j -2k on vecb=i+2j+3k is

The projection of a = 3i - j + 5k on b = 2i + 3j +k is

The orthogonal projection of bar(a)=2bar(i)+3bar(j)+3bar(k) on bar(b)=bar(i)-2bar(j)+bar(k) (where bar(i)*bar(j)*bar(k) are unit vectors along there mutually perpendicular directions is

A : Length of projection of 2i - 3j + k along 4i - 4j + 7k is 3 R : Length of projection of b on a is (a.b)/(|b|)

{:(I. "Projection of " I - 2j + k " on " 4i - 4j + 7k, a. 9),(II. "Projection of " 2i - 3j + k " on " 4i - 4j + 7k, b. 3) ,(III. "projection of " 9I - 7j + k " on x-axis", c. 19//9),(IV. "Projection of " 2i - 3j + 6k " on " I + 2j + 2k, d. 8// 3):}

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