In a parallelogram A B C D ,   A B → = a ,   A D → = b   &   A C → = c . D B → · A B → has the value:

Question

In a parallelogram A B C D , &#160; A B &#8594; = a , &#160; A D &#8594; = b &#160; &#38; &#160; A C &#8594; = c . D B &#8594; &#183; A B &#8594; has the value:

Aicharya · Accepted Answer

A B &#8594; = a A D &#8594; = b A C &#8594; = b &#8594; + a &#8594; = c Squaring both side b &#8594; 2 + a &#8594; 2 - 2 b &#8594; &#183; a &#8594; = c 2 b 2 + a 2 - c 2 = 2 b &#8594; &#183; a &#8594; &#8230; 1 D B &#8594; . A B &#8594; = a &#8594; - b &#8594; &#183; a &#8594; = a &#8594; 2 - a &#8594; &#183; b &#8594; = 1 2 ( a 2 - b 2 + c 2 )

In a parallelogram A B C D ,   A B → = a ,   A D → = b   &   A C →…

Solution

In a parallelogram A B C D , &#160; A B &#8594; = a , &#160; A D &#8594; = b &#160; &#38; &#160; A C &#8594;…

Solution

In a parallelogram A B C D , A B → = a , A D → = b & A C →…