If a - - -2k- - b -2- -0- -k- - c -3- -k- and c -m a -n b then m-n-

The correct option is C 2 c⃗ =ma⃗ +nb⃗ =m(i⃗ +j⃗ 2k⃗ )+n(2i⃗ 0j⃗ +k⃗ )=(m+2n)i⃗ +mj⃗ +(n 2m)k⃗ But c⃗ =3i⃗ k⃗ ⇒ m+2n=3 , n 2m= ...

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

Byju's Answer

Standard XII

Mathematics

Conditions on the Parameters of Logarithm Function

If a =î +ĵ ...

Question

If $¯ ¯ ¯ a =^i +^j - 2^k, ¯ ¯ b = 2^i - 0^j +^k, ¯ ¯ c = 3^i -^k$ and $¯ ¯ c = m ¯ ¯ ¯ a + n ¯ ¯ b$ then $m + n =$ .........

0

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

1

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

2

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

- 1

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

Open in App

Solution

The correct option is C $2$
$\to c = m \to a + n \to b = m (\to i + \to j - 2 \to k) + n (2 \to i - 0 \to j + \to k) = (m + 2 n) \to i + m \to j + (n - 2 m) \to k B u t \to c = 3 \to i - \to k \Rightarrow m + 2 n = 3, n - 2 m = - 1 S o l v i n g i t w e w i l l g e t m = 1, n = 1 \Rightarrow m + n = 1 + 1 = 2$

Suggest Corrections

Similar questions

Q. If

¯ ¯ ¯ a =^i +^j - 2^k, ¯ ¯ b = 2^i -^j +^k

and

¯ ¯ c = 3^i +^k

and

¯ ¯ c = m ¯ ¯ ¯ a + n ¯ ¯ b

then m + n =

If $\to r \times \to b = \to c \times \to b$ and $\to r . \to a = 0$ where $\to a = 2^i + 3^j -^k, \to b = 3^i -^j +^k$ and $\to c =^i +^j + 3^k$ , then $\to r$ is equal to

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

find

[\to a \to b \to c] .

Find $\to a . (\to b \times \to c)$ , if $\to a = 2^i +^j + 3^k, \to b = -^i + 2^j +^k$ and $\to c = 3^i +^j + 2^k$ .

Q. Find

\to a . (\to b \times \to c)

,if

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

Join BYJU'S Learning Program

If ¯¯¯a=^i+^j−2^k,¯¯b=2^i−0^j+^k,¯¯c=3^i−^k and ¯¯c=m¯¯¯a+n¯¯b then m+n=.........

The correct option is C 2→c=m→a+n→b=m(→i+→j−2→k)+n(2→i−0→j+→k)=(m+2n)→i+m→j+(n−2m)→kBut→c=3→i−→k⇒m+2n=3,n−2m=−1Solvingitwewillgetm=1,n=1⇒m+n=1+1=2

If $¯ ¯ ¯ a =^i +^j - 2^k, ¯ ¯ b = 2^i - 0^j +^k, ¯ ¯ c = 3^i -^k$ and $¯ ¯ c = m ¯ ¯ ¯ a + n ¯ ¯ b$ then $m + n =$ .........