If a¯=2i+k, b¯=3j+4k, c¯=8i-3j and a¯=xb¯+yc¯ then x, y=

a¯=xb¯+yc¯ ⇒2i^+k^=x3j^+4k^+y8i^-3j^ ⇒2i^+k^=8yi^+3x-3yj^+4xk^ comparing coefficients 8y=2,4x=1 ⇒y=14, x=14

If a¯=2i+k, b¯=3j+4k, c¯=8i-3j and a¯=xb¯+yc¯ then x, y=

a¯=xb¯+yc¯ ⇒2i^+k^=x3j^+4k^+y8i^-3j^ ⇒2i^+k^=8yi^+3x-3yj^+4xk^ comparing coefficients 8y=2,4x=1 ⇒y=14, x=14

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 $\bar{a} = 2 i + k, \bar{b} = 3 j + 4 k, \bar{c} = 8 i - 3 j and \bar{a} = x \bar{b} + y \bar{c} then (x, y) =$

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

$(\frac{1}{4}, \frac{- 1}{4})$

$(- \frac{1}{4}, \frac{- 1}{4})$

$(- \frac{1}{4}, \frac{1}{4})$

$(\frac{1}{4}, \frac{1}{4})$

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$\bar{a} = x \bar{b} + y \bar{c} \Rightarrow 2 \hat{i} + \hat{k} = x (3 \hat{j} + 4 \hat{k}) + y (8 \hat{i} - 3 \hat{j}) \Rightarrow 2 \hat{i} + \hat{k} = 8 y \hat{i} + (3 x - 3 y) \hat{j} + 4 x \hat{k} \overset{}{comparing coefficients} 8 y = 2, 4 x = 1 \Rightarrow y = \frac{1}{4}, x = \frac{1}{4}$