Question

The projection of the vector i+ j+ k on the line whose vector equation is r
= (3+t)i+(2t+ - 1)j+3t k. being a scalar, is ??????​

Answer 1

Answer:

bfidmfofmj 74929beidnjd idnjfhjjjbb 6hr8

Answer 2

Given: The line vector equation is r  = (3 + t)i + (2t -1)j + 3tk

To find: The projection of the vector i+ j+ k on the line whose vector equation is r ?

Solution:

• Now we have given the line as:

                 r  = (3 + t)i + (2t -1)j + 3tk

• It can be written as:

                 3i - j + (i + 2j + 3k)t

• The projection of a on b will be: a.b/|b|

• Projection = 1 + 2 + 3 / √1 + 4 + 9

• Projection = 6/√14

Answer:

              So the projection is 6/√14.