AP EAMCET · Maths · Vector Algebra
If are two points on the curve in the rectangular Cartesian coordinate system such that then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given, OP¯..i^=-1⇒Px=-1 P lies on y=2x+2 ⇒y=2-1+2 ⇒y=2 So, Px,Py=-1,2 Now OQ¯·i^=2⇒Qx=2 Also Q lies on y=2x+2 ⇒y=22+2 ⇒y=16 So, Qx,Qy=2,16 Now OQ¯=2i+16j And OP¯=-i+2j So, OQ¯-4OP¯=2i+16j+4i-8j=6i+8j
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