Question

Дано векторы m(5;y) u b(4;6). При каком значении у выполняется уравнение вектор м*b=-18?

Answer 1

M*B = 5*4 + y*6 = -18

20+6y = -18

6y = -38

y = -38/6

y = -19/3

Ответ: -19/3

Если я правильно понял условие, то как-то так)

Answer 2

To find the value of y that satisfies the equation m * b = -18, we need to perform vector multiplication between m(5;y) and b(4;6) and equate it to -18.

The dot product (scalar product) of two vectors is calculated by multiplying corresponding components and then adding them up. For two vectors A(a1, a2) and B(b1, b2), the dot product is given by:

A * B = (a1 * b1) + (a2 * b2)

In our case, m * b = -18 can be written as:

(5 * 4) + (y * 6) = -18

Now, solve for y:

20 + 6y = -18

Subtract 20 from both sides:

6y = -38

Finally, divide by 6 to find the value of y:

y = -38 / 6 y = -19/3

So, the value of y that satisfies the equation is y = -19/3 (approximately -6.3333).