IITM BS Question 15 - Week 8 Practice

Prasnya

IITM BS Question 15 - Week 8 Practice | Prasnya

00:00

Q15Comprehension1 Mark1 Dec 2024

Passage

Consider

u_1=\left(\frac1{\sqrt3},-\frac1{\sqrt3},\frac1{\sqrt3}\right)

u_2=\left(\frac1{\sqrt2},0,-\frac1{\sqrt2}\right)

, and

u_3=\left(\frac1{\sqrt6},\frac{2k}{\sqrt6},\frac{k}{\sqrt6}\right)

\mathbb{R}^3

, where

k\in\mathbb{R}

. Use the standard inner product to answer the subquestions.

Find the value of

k

for which

\{u_1,u_2,u_3\}

is an orthonormal basis of

\mathbb{R}^3

Your answer

Press Enter to check.

Q15

00:00

1 Dec 2024

Mathematics 2 · Week 8

Q15.Find the value of

k

for which

\{u_1,u_2,u_3\}

is an orthonormal basis of

\mathbb{R}^3

.@passage

Your Answer

Save

Read

Check

Details