Can we multiply a vector by a real number?

What happens,when we multiply a vector by -2 ?

Can we divide a vector by vector?

State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful :- multiplying any vector by any scalar,

When you multiply a number by 6 and subtract 5 from the product you get 7. Can you tell what the number is ?

What happens if a vector if a ector is multiplied by a number 10?

If vec a is a non-zero vector and λ is a real number st. |λ vec a|= 1 , then |λ| is equal to......

If veca, vecb and vecc are non-coplanar vectors and lamda is a real number, then the vectors veca + 2vecb + 3vecc, lamda vecb + mu vecc and (2lamda -1)vecc are coplanar when

If veca, vecb, vecc are non coplanar vectors and lamda is a real number, then [(lamda(veca+vecb), lamda^(2)vecb, lamdavecc)]=[(veca, vecb+vecc,vecb)] for

Does the nature of a vector change when it is multiplied by a scalar?

The sum of three numbers is 6. If we multiply third number by 3 and add second number to it, we get 11. By adding first and third numbers we get double of the second number. Represent it algebraically and find the numbers using matrix method.