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Question

Mathematics Question on types of differential equations

Let

a→=αiˆ+3jˆ−kˆ,b→=3iˆ−βjˆ+4kˆandc→=iˆ+2jˆ−2kˆa→=α\^{i}+3\^{j}−\^{k}, \overrightarrow{b}=3\^{i}−β\^{j}+4\^{k} and \overrightarrow{c}=\^{i}+2\^{j}−2\^{k }

where α,β∈R, be three vectors. If the projection of

a→onc→is103andb→×c→=−6iˆ+10jˆ+7kˆ,\overrightarrow{a} on \overrightarrow{c} is \frac{10}{3} and \overrightarrow{b}×\overrightarrow{c}=−6\^{i}+10\^{j}+7\^{k},

then the value of α+β is equal to

A

3

B

4

C

5

D

6

Answer

3

Explanation

Solution

The correct option is(A): 3

where α,β∈R, be three vectors. If the projection of a→ on c→ is 103 and then the value of α+β is equal to