If a-k- and b-k- find a vector c- such that a-c-b and a-c-3-

Let c⃗=xi⃗+yj⃗+zk⃗ a⃗×c⃗=i⃗ amp;j⃗ #160; amp;k⃗ 1 #160; amp;1 #160; amp;1 x amp; y amp;z =i⃗(z y) j⃗(z x)+k⃗(y x) ...

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

Applications of Cross Product

If a=î+ĵ+k̂...

Question

If $\to a =^i +^j +^k$ and $\to b =^j -^k$ , find a vector $\to c$ , such that $\to a \times \to c = \to b$ and $\to a . \to c = 3$ .

Open in App

Solution

Suggest Corrections

Similar questions

Let \to a =^i +^j +^k, \to c =^j -^k

\to b

\to a \times \to b = \to c

\to a . \to b = 3

| \to b |

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

\to b =^j -^k .

\to c

\to a \times \to c = \to b

\to a \cdot \to c = 3,

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

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

\to b

\to a \times \to b = \to c

\to a \cdot \to b = 3

| \to b |

\sqrt{2}

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

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

\to c =^i +^j +^k

-^i -^k

^j -^k

^i -^j

^i +^k

L e t \to a =^i -^j, \to b =^j -^k, \to c =^k -^i .

\to d

\to a \cdot \to d = 0 = [\to b \to c \to d],

\to d

Join BYJU'S Learning Program