6. If x= 1, y = -1, z=3, a = 1, b = -2, c = 2, find the value of
(a) ax² + by² - cz²
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Answer:
ax² + by² - cz² = 1 + (-2) - 18 = -19
Step-by-step explanation:
If x= 1, y = -1, z=3, a = 1, b = -2, c = 2
ax² + by² - cz²
= ax² = a × (x²)
= 1 × (1²)
= 1 × 1
= 1
= by² = b × (y²)
= -2 × (-1²)
= -2 × 1
= -2
= cz² = c × (z²)
= 2 × (3²)
= 2 × 9
= 18
ax² + by² - cz² = 1 + (-2) - 18
= 1 + (-2)
= -1
= -1 - 18
= -19
∴ ax² + by² - cz² = 1 + (-2) - 18
= -19
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