If `\vec { A } = 8 \hat { i } + 6 \hat { j }` and `\vec { B } = 4 \hat { \i } + 2 \hat { j }`. Then find `| \vec { A } + \vec { B } |`

If \vec { A } = 12 \hat { i } + 14 \hat { j } and \vec { B } = 10 \hat { i } + 8 \hat { j } . Then find | \vec { A } \- \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 } = 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 }

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

If vec a = hat i + 2 hat j - 3 hat k and vec b = 3 hat i - hat j + 2 hat k , then vec a + vec b and vec a - vec b are

If vec a = 2 hat i - 3 hat j + 4 hat k , vec b = hat i + 2 hat j - hat k and vec c = 3 hat i - hat j + 2 hat k , then (i) find [vec a vec b vec c] (ii) find [ vec a + vec b vec b + vec c vec c + veca] .

Consider the vectors vec a = hat i + 2 hat j - 3 hat k and vec b = 4 hat i - hat j + 2 hat k . (i) Find |vec a| and |vec b| . (ii) Find vec a. vec b (iii) Find the projections of vec a on vec b and vec b on vec a .

If vec a = 7 hat i - 2 hat j + 3 hat k , vec b = hat i - hat j + 2 hat k and vec c = 3 hat i + 8 hat j , then find veca.(vec b xx vec c) and (vec a xx vec b) vec c . Also find whether veca.(vec b xx vec c) and (vec a xx vec b) vec c are equal.

Find veca. vec b when veca = 2 hat i + 2 hat j - hat k and vec b = 6 hat i - 3 hat j + 2 hat k .