diketahui titik A (3,1,-4), B (3,-4,6) C (-1,5,4) titik P membagi AB sehingga AP:PB = 3:2 maka vekto

To express a number with decimal values into words you must first write out the whole numbers, write the word and, then write out the decimal numbers using the smallest decimal's place value. In this problem we will start with "twenty-four". Now we will write the decimal values. The decimal value is "three hundred fifty-seven thousandths." Now we can put the words together using the word "and." The final answer is "twenty four and three hundred fifty-seven thousandths."

Answered by W0lf93 | 2024-06-11

The number 24.357 is expressed in words as 'twenty-four and three hundred fifty-seven thousandths.' This includes writing the whole number and the decimal parts, using 'and' to connect them. Each part is carefully broken down to ensure clarity in the expression.
;

Answered by W0lf93 | 2024-12-26

Jawab:Koordinat P = (3, -2, 2)vektor AP = (0, -3, 6)vektor PB = (0, -2, 4)Penjelasan dengan langkah-langkah:Diketahui:Titik A(3, 1, -4), B(3, -4, 6), C(-1, 5, 4)Titik P membagi AB dengan perbandingan AP:PB = 3:2Maka:P = ((n·xA + m·xB)/(m+n), (n·yA + m·yB)/(m+n), (n·zA + m·zB)/(m+n))Dimana:(xA, yA, zA) adalah koordinat titik A(xB, yB, zB) adalah koordinat titik B  m = 3, n = 2 (karena AP:PB = 3:2)Substitusi KoordinatKoordinat:A(3, 1, -4) → (xA, yA, zA) = (3, 1, -4)B(3, -4, 6) → (xB, yB, zB) = (3, -4, 6)Perbandingan: m = 3, n = 2, sehingga m + n = 3 + 2 = 5Kalkulasi koordinat P:Px = (n·xA + m·xB)/(m+n) = (2·3 + 3·3)/5 = (6 + 9)/5 = 15/5 = 3Py = (n·yA + m·yB)/(m+n) = (2·1 + 3·(-4))/5 = (2 - 12)/5 = -10/5 = -2Pz = (n·zA + m·zB)/(m+n) = (2·(-4) + 3·6)/5 = (-8 + 18)/5 = 10/5 = 2Jadi, koordinat titik P:P = (3, -2, 2)Menentukan VektorVektor AP:AP = P - A = (3, -2, 2) - (3, 1, -4)      = (3-3, -2-1, 2-(-4)) = (0, -3, 6)Vektor PB:PB = B - P = (3, -4, 6) - (3, -2, 2)      = (3-3, -4-(-2), 6-2) = (0, -2, 4)Perbandingan AP:PBPanjang vektor AP:|AP| = √(0² + (-3)² + 6²) = √(0 + 9 + 36) = √45 = 3√5Panjang vektor PB:|PB| = √(0² + (-2)² + 4²) = √(0 + 4 + 16) = √20 = 2√5Perbandingan:|AP|/|PB| = (3√5)/(2√5) = 3/2Yang artinya 3:2 terpenuhi, sehingga koordinat P benar.

Answered by aekmohop | 2025-07-14