Vector algebra Questions
Math 101 - Calculus and Linear Algebra Past Papers

Practice 14 past-paper questions for Vector algebra in Math 101 - Calculus and Linear Algebra. Get solutions and exam preparation resources.

Click on a question to view the full answer

1. 10. The circle x^2 + y^2 = a^2 is symmetric about

2. Find the equations for the lines that are tangent and normal to the curve x^2+2y^2=9 at (1,2).

3. Define vector subspace and linear combination of the vectors. Describe the span of the vectors $v_1 = (1,0,1), v_2 = (1,…

4. The vectors $e_1 = (1,0)$ and $e_2 = (0,1)$ are standard _______. in $\mathbb{R}^2$.

5. Define a field and a vector space over a field. Also, show that the set of all 3-tuples forms a vector space under the u…

6. If $f(x,y) = x\cos y + ye^x$, then find $\frac{\partial f}{\partial x}$

7. State Divergence theorem. Verify the theorem for the field F = xi + yj + zk over the sphere x2 + y2 + z2 = a2, Find the…

8. The equation $r = 2 + 3 \cos \theta$ represents a polar curve known as

9. The divergence of a vector field, $\mathbf{F} = 2x^2 \mathbf{i} - 3y^2 \mathbf{j} + 4x^2 \mathbf{k}$ is

10. In spherical coordinates, $x^2 + y^2 + (z — 1)^2 =1$ is written as .

11. Define flux and divergence of a vector field F = M7+ N J at the point (x,y). State Green’s Theorem in the tangential for…

12. Define curvature and torsion of a smooth curve. Find $T, N, B,$ and $\tau$ for the space curve $r(t) = (3\sin t)i + (3 \…

13. ## 13. What does a box plot with a large positive skew indicate?

14. ## 19. Estimate the value of $y$ at $x = 2$ given that $y = 2x^2 + 3x + 1$ passes through the points $(1,6)$, $(3,28)$,…