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what are the dimensions of the product?
2
4 -3 |x| -2
гу со
| 6 1 о| |
o1 x 2
o2 x 2
о 3x 2
o3х3

The dimension of the product is 2×2.

Step-by-step explanation:

The given problem is based on Matrices and it is a matrix multiplication  or Matrix product.

For any Two Matrix multiplication it is necessary, number of columns of matrix A  must be equal to  number of rows of matrix B.

Then only multiplication of matrix exist.

Then the product of multiplication i.e Matrix C will have the order number of rows of  Matrix A by number of columns of Matrix B

Let A be the first Matrix multiplied by matrix B

Matrix A is of order 2×3

Rows=2, column =3

Matrix B is of order 3×2

Rows=3, column =2

So here number of columns of matrix A  is equal to  number of rows of matrix B i.e 3

And the product order will be number of rows of Matrix A by number of columns of Matrix B .i.e 2×2

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

20

step-by-step explanation: