Let a-4k- b- 5-2k- and c- -3-k- If a-xb-yc- then the value of x-y is

Given : a=xb+yc ⇒ î+4k̂=x(5î+2k̂)+y( 3î+k̂ ) Equating the cofficient of like vectors, we get ⇒ 5x 3y= 1 ⋯(i) 2x+y=4 ⋯(ii) Solving (i) and (ii), ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Applications Scalar Triple Product

Let a=-î+4k̂,...

Question

Let $\to a = -^i + 4^k, \to b = 5^i + 2^k$ and $\to c = - 3^i +^k .$ If $\to a = x \to b + y \to c,$ then the value of $(x, y)$ is

(1, 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(- 2, 2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(1, 2)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(2, - 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

\to a = 2^i +^j +^k, \to b = 3^i - 4^j + 2^k, \to c =^i - 2^j + 2^k

\to a + \to b

\to c

\to a = - 2^i +^j +^k, \to b =^i + 5^j a n d \to c = 4^i + 4^j + 2^k

3 \to a - 2 \to b

\to c

\to a = 3^i +^j - 2^k; \to b =^i + λ^j - 3^k

\to a ⊥ \to b

λ

\to a =^i -^k, \to b = x^i +^j + (1 - x)^k, \to c = y^i + x^j + (1 + x - y)^k

[\to a \to b \to c]

\to a =^i -^k, \to b = x^i +^j + (1 - x)^k

\to c = y^i + x^j + (1 - x - y)^k

[\to a \to b \to c]

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program