The vectors c - a - x - y - z k- and b - are such that a - c and b form a right handed system then c can beA -0B- y -C- z -y k-D- z -x k-

The correct option is C z î + y k̂a⃗, c⃗, b⃗ to represent a right handed system if [a⃗ c⃗ b⃗] gt; 0 ∴c⃗ can be z î + y k̂ as for other Three values [a⃗ c⃗ b ...

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

Byju's Answer

Standard XII

Mathematics

Equal Vectors

The vectors c...

Question

The vectors $\to c, \to a = x^i + y^j + z^k$ and $\to b =^j$ are such that $\to a, \to c$ and $\to b$ form a right handed system then $\to c$ can be

z^i - x^k

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

\to 0

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

y^j

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

z^i + y^k

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

Open in App

Solution

The correct option is D $z^i + y^k$
$\to a, \to c, \to b$ to represent a right handed system if $[\to a \to c \to b] > 0$
$∴ \to c c a n b e z^i + y^k$ as for other
Three values $[\to a \to c \to b] = 0$

Suggest Corrections

Similar questions

¯ ¯ ¯ a = x^i + y^j + z^k, ¯ ¯ b =^j

, then the vector

¯ ¯ c

for which

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

form a right hand triangle

Q. Let

^i,^j,^k

be three mutually or orthogonal unit vectors and let

x, y, z

be three distinct real numbers. If the vectors

\to u = x^i + y^j + z^k, \to v = y^i + z^j + x^k

and

\to w = z^i + x^j + y^k

are coplanar then

Q. lf the Vector

¯ ¯ ¯ c, \to a = x^i + y^j + z^k, \to b =^j

are such that

\to a, \to c, \to b

form

R . H . S

then

\to c =

¯ a = x^i + y^j + z^k, ¯ b =^j

then the vector

¯ c

for which

¯ a, ¯ b, ¯ c

form a right hand triad

Q. If vectors

{\to a}_{1} = x^i -^j +^k

and

{\to a}_{2} =^i + y^j + 2^k

are collinear, then a possible unit vector parallel to the vector

x^i + y^j + z^k

is :

Join BYJU'S Learning Program

The vectors →c,→a=x^i+y^j+z^k and →b=^j are such that →a,→c and →b form a right handed system then →c can be

The correct option is D z^i+y^k→a,→c,→b to represent a right handed system if [→a →c →b]>0 ∴→c can be z^i+y^k as for other Three values [→a →c →b]=0

The vectors $\to c, \to a = x^i + y^j + z^k$ and $\to b =^j$ are such that $\to a, \to c$ and $\to b$ form a right handed system then $\to c$ can be

The correct option is D $z^i + y^k$
$\to a, \to c, \to b$ to represent a right handed system if $[\to a \to c \to b] > 0$
$∴ \to c c a n b e z^i + y^k$ as for other
Three values $[\to a \to c \to b] = 0$