Plus Two Maths Chapter Wise Previous Questions Chapter 10 Vector Algebra are part of Plus Two Maths Chapter Wise Previous Year Questions and Answers. Here we have given Plus Two Maths Chapter Wise Previous Chapter 10 Vector Algebra.

## Kerala Plus Two Maths Chapter Wise Previous Questions and Answers Chapter 10 Vector Algebra

Question 1.

a. Prove that for any Vectors.

b. Show that if are coplanar then are also coplanar **[March-2018] **Answer:

Question 2.

a. If

i. Find

ii. Find a unit vector perpendicular to both

ii. Consider the points A(1, 2, 7), B (2, 6, 3), C(3, 10, -1).

i. Find

ii. Prove that A, B, C are collinear points. ** [March- 2018] **Answer:

Question 3.

a. The projection of the vector is

a.

b.

c.

d.

b. Find the area of a parallelogram whose adjacent sides are the vectors

[March-2017]

Answer:

Question 4.

a. The angle between the vectors

(i) 60°

(ii) 30°

(iii) 45°

(iv) 90°

b. If are unit vectors such that , find the value of [March-2017]

Answer:

Question 5.

a. The angle between the vector

i.

ii.

iii.

iv. 0

b. Find the unit vector along **[March -2016]**

Answer:

Question 6.

a. If the points A and B are (1,2,-1) and (2,1,-1) respectively, then is

i.

ii.

iii.

iv.

b. Find the value of λ for which vector are coplaner

c. Find the angle between the vector

Answer:

Question 7.

a. If respectively are the position vectors representing the vertices A,B,C, D of a parallelogram , then write d in terms of .

b. Find the projection vector of

Also write as the sum of a vector along and a vector perpendicular to

c. Find the area of a parallelogram for which the vectors are adjacent sides. **[March-2015] **Answer:

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