if p vector is equals to 6 icap + 8 j cap and q vector is 4 icap - 3 j cap then a vector .bvector is
Answers
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(6 i + 8 j) . ( 4 i - 3j)
=(6i.4i) + (6i.{-3j}) + (8j.4i) + ( 8j.{-3j})
{i×i=1 since they make angle 0° with each other and cos 0°=1 ; i×j=0 since they make 90° angle with each other and cos 90° =0}
=(24)+(0)+(0)+(-24j)
= 24 - 24 = 0
therefore vector a . vector b =0
Answer- The above question is from the chapter 'Motion in a Plane'.
Concept used: Dot Product Method or Scalar Product Method
Dot product of two vectors a and b is product of their magnitudes and cosine of the smaller angle between them.
The resultant quantity is a scalar quantity and therefore, it called a scalar product.
Uses of Dot Product Method:
1) When two vectors are perpendicular
2) To find angle between two vectors
3) To find component of a vector along direction of another vector (Projectile)
Note- If two vectors have dot product = 0, then they are perpendicular to each other.
The answer has been attached.
