If p¯ is non-zero vector such that p¯.a¯=p¯.b¯=0 and p¯×c¯=0¯ then

p¯⋅a¯=p¯⋅b¯=0,p¯⋅c¯=0¯⇒p⊥ lar to a¯,b¯⇒p=a¯×b¯(a¯×b¯)×c¯=0¯

If p¯ is non-zero vector such that p¯.a¯=p¯.b¯=0 and p¯×c¯=0¯ then

p¯⋅a¯=p¯⋅b¯=0,p¯⋅c¯=0¯⇒p⊥ lar to a¯,b¯⇒p=a¯×b¯(a¯×b¯)×c¯=0¯

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

If $\bar{p}$ is non-zero vector such that $\bar{p} . \bar{a} = \bar{p} . \bar{b} = 0$ and $\bar{p} \times \bar{c} = \bar{0}$ then

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$[\bar{a} \bar{b} \bar{c}] = 0$

$\bar{a} \times (\bar{b} \times \bar{c}) = \bar{0}$

$(\bar{a} \times \bar{b}) \times \bar{c} = \bar{0}$

$(\bar{a} \times \bar{c}) \times \bar{b} = \bar{0}$

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$\begin{array}{l} \bar{p} \cdot \bar{a} = \bar{p} \cdot \bar{b} = 0, \bar{p} \cdot \bar{c} = \bar{0} \\ \Rightarrow p ⊥ lar to \bar{a}, \bar{b} \\ \Rightarrow p = \bar{a} \times \bar{b} \\ (\bar{a} \times \bar{b}) \times \bar{c} = \bar{0} \end{array}$