Let the vectors a → , b → , c → be such that | a → | = 2 , | b → | = 4 and | c → | = 4 . If the projection of b → on a → is equal to the projection of c → on a → and b → is perpendicular to c → , then the value of | a →…

Question

Let the vectors a &#8594; , b &#8594; , c &#8594; be such that | a &#8594; | = 2 , | b &#8594; | = 4 and | c &#8594; | = 4 . If the projection of b &#8594; on a &#8594; is equal to the projection of c &#8594; on a &#8594; and b &#8594; is perpendicular to c &#8594; , then the value of | a &#8594; + b &#8594; - c &#8594; | is &#8230;

Aicharya · Accepted Answer

b &#8594; . a &#8594; = c &#8594; . a &#8594; a &#8594; + b &#8594; - c &#8594; 2 = | a &#8594; | 2 + | b &#8594; | 2 + | c &#8594; | 2 + 2 a &#8594; &#183; b &#8594; - b &#8594; &#183; c &#8594; - a &#8594; &#183; c &#8594; = 4 + 16 + 16 + 2 ( a &#8594; . b &#8594; - 0 - a &#8594; . b &#8594; ) = 36 &#8658; | a &#8594; + b &#8594; - c &#8594; | = 6

Let the vectors a → , b → , c → be such that | a → | = 2 , | b → | = 4 and | c…

Solution

Let the vectors a &#8594; , b &#8594; , c &#8594; be such that | a &#8594; | = 2 , | b &#8594; | = 4 and | c…

Solution

Let the vectors a → , b → , c → be such that | a → | = 2 , | b → | = 4 and | c…