Find the projection of a^{\to} on b^{\to} if a^{\to}.b^{\to} = 8 and b^{\to} = 2i^{\^}+ 6j^{\^} +3k^{\^}

CBSE Class 12 Math 2009 Solved Paper - Question 6

Question : 6 of 29

Marks: +1, -0

Find the projection of

a↖{→}

b↖{→}

a↖{→}.b↖{→}

= 8 and

b↖{→}

2i↖{\^}+ 6j↖{\^} +3k↖{\^}

Solution:

Projection of

a↖{→}

b↖{→}

is given by

{a↖{→}.b↖{→}}/{|b↖{→}|}

(i)
Given

{a↖{→}.b↖{→}

= and

b↖{→}

2i↖{\^}+6j↖{\^}+3k↖{\^}

|b↖{→}|

√{4+36+9}

= 7
Substituting value in (i) we get
Projection of

a↖{→}

b↖{→}

8/7

Go to Question:

Prev Question

Next Question