Evaluate the following: a) [P,, A] where A =(P + P3 + P?) 2m
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![Evaluate the following:
a) [P., A] where A =(P + P3 + P2)
2m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7544060-01e3-4982-8714-99ffe5453575%2Fd1848d78-0854-41fd-85f1-274b171a74d7%2Fohb04ns_processed.jpeg&w=3840&q=75)
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- 2 Use the determinant of a matrix to find the area of the triangle whose vertices are (6, 1), (8,5), and (3, 1). ▸ Area = W S Enter an integer or decimal number [more..] Calculator Check Answer X 36 3 20 F3 E $ 4 D 이 C F4 R F % 5 F5 V T MacBook Air A 6 G F6 Y B & 7 H AK F7 C * 00 8 N DII FB - ( 9 F9 K M O V F10 XConsider a vector a = N i=1 ₁a¡ê; expressed in an orthonormal basis. Which of the following statements are true? Negative marking applies. Select one or more: a. (aa) = ₁ ai N i=1 b. (ala) (a|a) = 0 N (a|a) = Σ;₁a;ªz •j=1 □ d. e. f. = (ala) = (aa) = g. (aa) = 1 N ₁a²/ N i=1 * ₁ ažai ₁|a₁|² NFind the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. Р(- 1,1, - 2), Q(-2,0,1), R(0, -2, - 1)
- Given the vectors i =(- 3, 7, 4] and y = [- 6, 0, 8], determine b) proj „ . a) The angle between i and ỹ6. Given vectors Ã= 2â, + 4ây + 10â, and B = -5âp + âo – 3âz, find (a) Ã+ B at P(0, –2,5) , with o = 90° (b) ÷Ē (c) Ã× B (d) The angle between A and B at P (e) The scalar component of A along B at P3. Let a, b, n be integers, with n > 0. Prove that a = b (mod n) if and only if a² + b² = 2ab (mod n²).
- Consider vectors a = (3, −12) b = (−1, 4)and c = 0. Determine the non-zero scalars ? and ? such that c = ? a + ? b.Evaluate the dot product A - Bif A = 2i +7j and B = 7i – 5j. ? A-B= Submit Request Answer Part B Evaluate the dot product A - Bif à = 2î – 7j and B = 5i +7j.(6%) Problem 5: Consider the following vectors: A = 4.6i + 1.4j+ 3.4k В = -6. 5i + 7.1j + 10.2k 25% Part (a) What is the x-component of the vector V = 3(A × 2B)? Vx= sin() cos() tan() 7 8 9 НOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 cosh() tanh() cotanh() + END Degrees Radians Vd BACKSPACE DEL CLEAR Feedback Submit Hint I I give up! Hints: 2 for a 0% deduction. Hints remaining: 0 Feedback: 3% deduction per feedback. -This is a cross-product, so the answer will be a vector. In this part, we just want the x-component of the vector. Keep in mind that scalars like "2" and "3" distribute 3.