I- If a-3-2-k- b-2-4-3k- c-2-2k- then a-b-c-4-4-II- If a-2k- b-2-3-k- c-k- then magnitude of a-2b-3c- is -78

The correct option is C Both I and II are trueConsider Statement I a⃗+b⃗+c⃗ =(3i 2j+k)+(2i 4j 3k)+( i+2j+2k) =(3+2 1)i+( 2 4+2)j+(1 3+2)k =4 ...

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

Cross Product

I: If a⃗=3î...

Question

I: If $\to a = 3^i - 2^j +^k,$ $\to b = 2^i - 4^j - 3^k, \to c = -^i + 2^j + 2^k$ then $\to a + \to b + \to c = 4^i - 4^j$
II: If $\to a =^i -^j + 2^k, \to b = 2^i + 3^j +^k, \to c =^i -^k$ , then magnitude of $\to a + 2 \to b - 3 \to c$ is $\sqrt{78}$

Only I is true

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

Only II is true

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

Both I and II are true

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

Neither l nor ll are true

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

Open in App

Solution

Suggest Corrections

Similar questions

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

\to c = - 1^i + 2^j + 2^k

\to a + \to b + \to c =

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

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

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

\to a = 2^i +^j + 3^k

\to b = 3^i + 2^j +^k

\to c =^i -^j - 4^k

\to d =^i + 2^j -^k

(\to a \times \to b) \times (\to c \times \to d) =

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

\to c =^i + 3^j - 2^k

\to a \times (\to b \times \to c) = p^i + q^j + r^k

p + q + r =

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

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

\to c = 3^i +^j + 2^k .

Join BYJU'S Learning Program