NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.4 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.4.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 12 |

Subject |
Maths |

Chapter |
Chapter 10 |

Chapter Name |
Vector Algebra |

Exercise |
Ex 10.4 |

Number of Questions Solved |
12 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.4

**Question 1.**

Find

**Solution:**

Given

**Question 2.**

Find a unit vector perpendicular to each of the vector , where

**Solution:**

we have

**Question 3.**

If a unit vector makes angle and an acute angle θ with ,then find θ and hence the components of .

**Solution:**

**Question 4.**

Show that

**Solution:**

LHS =

**Question 5.**

Find λ and μ if

**Solution:**

**Question 6.**

Given that . What can you conclude about the vectors ?

**Solution:**

**Question 7.**

Let the vectors are given . Then show that

**Solution:**

Given

are given

**Question 8.**

If either .Is the

converse true? Justify your answer with an example.

**Solution:**

**Question 9.**

Find the area of the triangle with vertices A (1,1,2), B (2,3,5) and C (1,5,5).

**Solution:**

A (1,1,2), B (2,3,5) and C (1,5,5).

**Question 10.**

Find the area of the parallelogram whose adjacent sides are determined by the vectors

**Solution:**

We have

**Question 11.**

Let the vectors such that then is a unit vector if the angle between is

(a)

(b)

(c)

(d)

**Solution:**

Given

**Question 12.**

Area of a rectangles having vertices

(a) sq units

(b) 1sq.units

(c) 2sq.units

(d) 4sq.units

**Solution:**

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